Last update:
Wed Feb 19 08:41:21 MST 2025
Anonymous Introductory statement . . . . . . . . . 1--1 Michael S. Bingham Functional central limit theorems for approximate Martingale arrays in a locally compact Abelian group . . . . . 3--26 V. Goodman and J. Kuelbs Rates of convergence for increments of Brownian motion . . . . . . . . . . . . 27--63 Michael B. Marcus and Michel Talagrand Chevet's theorem for stable processes II 65--92 Keh-Shin Lii and Murray Rosenblatt Estimation and deconvolution when the transfer function has zeros . . . . . . 93--113
Richard C. Bradley On some results of M. I. Gordin: A clarification of a misunderstanding . . 115--119 R. W. R. Darling and Arunava Mukherjea Stochastic flows on a countable set: Convergence in distribution . . . . . . 121--147 Nicolae Dinculeanu Vector-valued stochastic processes. I. Vector measures and vector-valued stochastic processes with finite variation . . . . . . . . . . . . . . . 149--169 Peter Gerl Random walks on graphs with a strong isoperimetric property . . . . . . . . . 171--187 Larry Goldstein Minimizing noisy functionals in Hilbert space: An extension of the Kiefer--Wolfowitz procedure . . . . . . 189--204 Claudie Hassenforder An extension of Knight's theorem on Cauchy distribution . . . . . . . . . . 205--209 W. Hazod and E. Siebert Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups . . . . . . . . . . . . . . . 211--225 Herman Rubin and Jeesen Chen Some stochastic processes related to random density functions . . . . . . . . 227--237
Marc A. Berger and H. Mete Soner Random walks generated by affine mappings . . . . . . . . . . . . . . . . 239--254 Valeria Marraffa On almost sure convergence of amarts and martingales without the Radon--Nikodym property . . . . . . . . . . . . . . . . 255--261 Jean-Louis Dunau and Henri Senateur A characterization of the type of the Cauchy--Hua measure on real symmetric matrices . . . . . . . . . . . . . . . . 263--270 Walter R. Bloom and Herbert Heyer Continuity of convolution semigroups on hypergroups . . . . . . . . . . . . . . 271--286 N. T. Andersen and V. Dobric The central limit theorem for stochastic processes II . . . . . . . . . . . . . . 287--303 Joseph Glover and Murali Rao Symmetrizations of Markov processes . . 305--325
Imre Z. Ruzsa Infinite divisibility II . . . . . . . . 327--339 Donald I. Cartwright Random walks on direct sums of discrete groups . . . . . . . . . . . . . . . . . 341--356 S. G. Dani and M. McCrudden On the factor sets of measures and local tightness of convolution semigroups over Lie groups . . . . . . . . . . . . . . . 357--370 Joseph Glover and Murali Rao Nonsymmetric Markov processes and hypothesis (H) . . . . . . . . . . . . . 371--380 P. Diaconis and D. A. Freedman Conditional limit theorems for exponential families and finite versions of de Finetti's theorem . . . . . . . . 381--410 Peter Matthews A strong uniform time for random transpositions . . . . . . . . . . . . . 411--423
Anonymous Important announcement . . . . . . . . . 1--1 Marjorie G. Hahn and William N. Hudson and Jerry A. Veeh Operator stable laws: Series representations and domains of normal attraction . . . . . . . . . . . . . . . 3--35 Robin Pemantle Randomization time for the overhand shuffle . . . . . . . . . . . . . . . . 37--49 Hansmartin Zeuner The central limit theorem for Chébli--Trim\`eche hypergroups . . . . . 51--63 K. J. Falconer Projections of random Cantor sets . . . 65--70 Gérard Letac A characterization of the Wishart exponential families by an invariance property . . . . . . . . . . . . . . . . 71--86 David Aldous An introduction to covering problems for random walks on graphs . . . . . . . . . 87--89 David J. Aldous Lower bounds for covering times for reversible Markov chains and random walks on graphs . . . . . . . . . . . . 91--100 Andrei Z. Broder and Anna R. Karlin Bounds on the cover time . . . . . . . . 101--120 Jeff D. Kahn and Nathan Linial and Noam Nisan and Michael E. Saks On the cover time of random walks on graphs . . . . . . . . . . . . . . . . . 121--128 Peter Matthews Some sample path properties of a random walk on the cube . . . . . . . . . . . . 129--146 David Zuckerman Covering times of random walks on bounded degree trees and other graphs 147--157
E. Dettweiler On the martingale problem for Banach space valued stochastic differential equations . . . . . . . . . . . . . . . 159--191 Kai Fun Yu On fixed-width confidence intervals associated with maximum likelihood estimation . . . . . . . . . . . . . . . 193--199 Eric C. Howe and Charles R. Johnson Aggregation of Markov processes: Axiomatization . . . . . . . . . . . . . 201--208 Steven N. Evans Local properties of Lévy processes on a totally disconnected group . . . . . . . 209--259 Ted Chang and Fred Galvin and Andrew L. Rukhin On the ratio integral formula for the likelihood ratio of a maximal invariant 261--265 J. Behboodian Symmetric sum and symmetric product of two independent random variables . . . . 267--270
Shlomo Levental A uniform CLT for uniformly bounded families of martingale differences . . . 271--287 Bernard Planchet Credibility and conditioning . . . . . . 289--299 R. Lasser and M. Leitner Stochastic processes indexed by hypergroups. I . . . . . . . . . . . . . 301--311 Guillermo Ferreyra A Wong--Zakai-type theorem for certain discontinuous semimartingales . . . . . 313--323 Eike Born An explicit Lévy-Hincin formula for convolution semigroups on locally compact groups . . . . . . . . . . . . . 325--342 Marek Slaby The law of the iterated logarithm for subsequences and characterization of the cluster set of $ S_{n k} / (2 n_k \log \log n_k)^{1 / 2} $ in Banach spaces . . 343--376 Michael Lacey Laws of the iterated logarithm for partial sum processes indexed by functions . . . . . . . . . . . . . . . 377--398
Torbjörn Kolsrud Traces of harmonic functions, capacities, and traces of symmetric Markov processes . . . . . . . . . . . . 399--418 Ely Merzbach and David Nualart Generalized holomorphic processes and differentiability . . . . . . . . . . . 419--432 Dudley Paul Johnson Some variations on Kac's formula for Brownian motion . . . . . . . . . . . . 433--436 Uwe Einmahl and David M. Mason Darling--Erd\Hos theorems for martingales . . . . . . . . . . . . . . 437--460 T. J. Sweeting On conditional weak convergence . . . . 461--474 Yves Deniel On the a.s. Ces\`aro-$ \alpha $ convergence for stationary or orthogonal random variables . . . . . . . . . . . . 475--485 P. J. Fitzsimmons Time changes of symmetric Markov processes and a Feynman--Kac formula . . 487--501 Z. R. Pop-Stojanovi\'c Excessiveness of harmonic functions for certain diffusions . . . . . . . . . . . 503--508
Anonymous Important announcement . . . . . . . . . i--i Damon Scott A non-integral-dimensional random walk 1--7 Ravi Chari Generalized jump-type Ornstein--Uhlenbeck processes as limits of infinite-particle systems . . . . . . 9--29 Raul Fierro Domains of Attraction for semi-martingales taking values in the tempered distributions space . . . . . . 31--49 T. A. Sarymsakov and N. N. Ganihodzhaev Analytic methods in the theory of quadric stochastic operators . . . . . . 51--70 Torben Maack Bisgaard Hoeffding's inequalities: A counterexample . . . . . . . . . . . . . 71--80 Olav Kallenberg Exchangeable random measures in the plane . . . . . . . . . . . . . . . . . 81--136 Marjorie G. Hahn and Jim Kuelbs and Daniel C. Weiner The asymptotic distribution of magnitude-Winsorized sums via self-normalization . . . . . . . . . . . 137--168
Richard E. Pfiefer Maximum and minimum sets for some geometric mean values . . . . . . . . . 169--179 D. S. Mindlin Convolutions of random measures on a compact topological semigroup . . . . . 181--197 Ferenc Juhász On the characteristic values of non-symmetric block random matrices . . 199--205 Bernt Òksendal When is a stochastic integral a time change of a diffusion? . . . . . . . . . 207--226 G. Siegel Properties of operator stable distributions in infinite-dimensional Banach spaces . . . . . . . . . . . . . 227--244 Michael Voit Laws of large numbers for polynomial hypergroups and some applications . . . 245--266 Gennady Samorodnitsky and Murad S. Taqqu Multiple stable integrals of Banach-valued functions . . . . . . . . 267--287 E. H. Toby Birth and death of a stationary Markov process . . . . . . . . . . . . . . . . 289--309 Robert Fisch The one-dimensional cyclic cellular automaton: A system with deterministic dynamics that emulates an interacting particle system with stochastic dynamics 311--338 Kai Fun Yu Complete convergence of weighted sums of martingale differences . . . . . . . . . 339--347 Arnold Janssen The distance between the Kac process and the Wiener process with applications to generalized telegraph equations . . . . 349--360 Gábor J. Székely and Wei-Bin Zeng The Choquet--Deny convolution equation $ \mu = \mu * \sigma $ for probability measures on Abelian semigroups . . . . . 361--365 K. S. Lii and M. Rosenblatt Asymptotic normality of cumulant spectral estimates . . . . . . . . . . . 367--385
Christian Buchta Distribution-independent properties of the convex hull of random points . . . . 387--393 A. de Acosta Large deviations for empirical measures of Markov chains . . . . . . . . . . . . 395--431 Tomasz Byczkowski and Micha\l Ryznar Smoothness of the distribution of the norm in uniformly convex Banach spaces 433--448 Norma Terrin and Murad S. Taqqu A noncentral limit theorem for quadratic forms of Gaussian stationary sequences 449--475 Eric S. Key Lower bounds for the maximal Lyapunov exponent . . . . . . . . . . . . . . . . 477--488
V. Dobric The decomposition theorem for functions satisfying the law of large numbers . . 489--496 Luc Devroye and Amine Sbihi Random walks on highly symmetric graphs 497--514 Pawel Kröger Comparison theorems for diffusion processes . . . . . . . . . . . . . . . 515--531 Bernard Heinkel An infinite-dimensional law of large numbers in Cesaro's sense . . . . . . . 533--546 Micha\l Ryznar and Tomasz Zak The measure of a translated ball in uniformly convex spaces . . . . . . . . 547--562 Gyula Pap Analog of heat equation for Gaussian measure of a ball in Hilbert space . . . 563--577 Haiyan Cai The minimal solution of a Markov renewal equation . . . . . . . . . . . . . . . . 579--585 André Adler Generalized one-sided laws of the iterated logarithm for random variables barely with or without finite mean . . . 587--597 András Zempléni On the heredity of Hun and Hungarian property . . . . . . . . . . . . . . . . 599--609 William A. Dembski Uniform probability . . . . . . . . . . 611--626 Robin Pemantle A time-dependent version of Pólya's urn 627--637
Anonymous Important announcement . . . . . . . . . 1--1 Jean-François Chamayou and Gérard Letac Explicit stationary distributions for compositions of random functions and products of random matrices . . . . . . 3--36 Jürgen Dippon Asymptotic confidence regions of stochastic approximation procedures in Hilbert spaces . . . . . . . . . . . . . 37--52 Paul Deheuvels and David M. Mason A tail empirical process approach to some nonstandard laws of the iterated logarithm . . . . . . . . . . . . . . . 53--85 Sean McGuinness Recurrent networks and a theorem of Nash--Williams . . . . . . . . . . . . . 87--100 Prasad Tetali Random walks and the effective resistance of networks . . . . . . . . . 101--109 Donald I. Cartwright and Stanley Sawyer The Martin boundary for general isotropic random walks in a tree . . . . 111--136 Ian Abramson and Larry Goldstein Efficient nonparametric testing by functional estimation . . . . . . . . . 137--159 Xuerong Mao A note on global solution to stochastic differential equation based on a semimartingale with spatial parameters 161--167 Sándor Csörg\Ho and Rossitza Dodunekova The domain of partial attraction of a Poisson law . . . . . . . . . . . . . . 169--190 J. P. Gabriel and P. Milasevic A remark on probability spaces . . . . . 191--195 David J. Aldous Threshold limits for cover times . . . . 197--211 Z. F. Li and R. J. Tomkins Complete stability of large order statistics . . . . . . . . . . . . . . . 213--221 Rick Durrett and Harry Kesten and Ed Waymire On weighted heights of random trees . . 223--237
Adrian Papamarcou and Terrence L. Fine Stationarity and almost sure divergence of time averages in interval-valued probability . . . . . . . . . . . . . . 239--260 Siegfried Nobel Limit theorems for probability measures on simply connected nilpotent lie groups 261--284 Victor Goodman and J. Kuelbs Rates of clustering in Strassen's LIL for Brownian motion . . . . . . . . . . 285--309 Gabriella Kuhn Finitely additive random walks on infinitely generated free groups . . . . 311--320 M. Leitner Stochastic processes indexed by hypergroups II . . . . . . . . . . . . . 321--332 S. T. Rachev and J. E. Yukich Rates of convergence of $ \alpha $-stable random motions . . . . . . . . 333--352 Anthony G. Pakes and F. M. Dekking On family trees and subtrees of simple branching processes . . . . . . . . . . 353--369 David C. Brydges and Ismael Muñoz Maya An application of Berezin integration to large deviations . . . . . . . . . . . . 371--389 Riddhi Shah Infinitely divisible measures on $p$-adic groups . . . . . . . . . . . . 391--405 Hwai-Chung Ho and Tze-Chien Sun A mixture-type limit theorem for nonlinear functions of Gaussian sequences . . . . . . . . . . . . . . . 407--415 Joseph Glover Symmetry groups of Markov processes and the diagonal principle . . . . . . . . . 417--440 Xuerong Mao Eventual uniform asymptotic stability for stochastic differential equation based on semimartingale with spatial parameter . . . . . . . . . . . . . . . 441--456 Zoran Vondracek A characterization of Brownian motion in a Lipschitz domain by its killing distributions . . . . . . . . . . . . . 457--464 Andrew L. Rukhin and Morris Skibinsky Bayes estimators whose range has convex hull of zero prior probability . . . . . 465--474
S. Kalpazidou Circulation distribution on groups . . . 475--483 R. M. Dudley and E. Giné and J. Zinn Uniform and universal Glivenko--Cantelli classes . . . . . . . . . . . . . . . . 485--510 R. Norvaisa and V. Paulauskas Rate of convergence in the central limit theorem for empirical processes . . . . 511--534 Mokhtar Konsowa and Joanna Mitro The type problem for random walks on trees . . . . . . . . . . . . . . . . . 535--550 Thomas Kuczek and Keith N. Crank A large-deviation result for regenerative processes . . . . . . . . . 551--561 J. M. Anderson and Joseph Horowitz and L. D. Pitt On the existence of local times: A geometric study . . . . . . . . . . . . 563--603 Xing-Hong Xue Convergence of classes of subpramarts and games which become better with time 605--623 S. G. Dani A characterization of the Cauchy-type distributions on boundaries of semisimple groups . . . . . . . . . . . 625--629 Itai Benjamini Instability of the Liouville property for quasi-isometric graphs and manifolds of polynomial volume growth . . . . . . 631--637
N. N. Ganihodzhaev On stochastic processes generated by quadric operators . . . . . . . . . . . 639--653 Jean Diebolt Estimates of the tail of the stationary density function of certain nonlinear autoregressive processes . . . . . . . . 655--667 Richard Durrett and Jeffrey E. Steif Some rigorous results for the Greenberg--Hastings Model . . . . . . . 669--690 Michael Braverman A characterization of probability distributions by mean values . . . . . . 691--700 Steven P. Lalley Saddle-point approximations and space-time Martin boundary for nearest-neighbor random walk on a homogeneous tree . . . . . . . . . . . . 701--723 Marie-France Bru Wishart processes . . . . . . . . . . . 725--751 Richard Stong Choosing a random spanning subtree: a case study . . . . . . . . . . . . . . . 753--766 Michael Lacey On almost sure noncentral limit theorems 767--781 J. Gong and A. Mukherjea Solution of a problem on the identification of parameters by the distribution of the maximum random variable: a multivariate normal case . . 783--790
Wenbo V. Li Comparison results for the lower tail of Gaussian seminorms . . . . . . . . . . . 1--31 S. T. Rachev and L. Rüschendorf and A. Schief Uniformities for the convergence in law and in probability . . . . . . . . . . . 33--44 James Allen Fill Strong stationary duality for continuous-time Markov chains. Part I: Theory . . . . . . . . . . . . . . . . . 45--70 Akihito Hora Quasi-invariant measures on the infinite product of SU (2) . . . . . . . . . . . 71--100 Uwe Einmahl and David M. Mason Approximations to permutation and exchangeable processes . . . . . . . . . 101--126 R. Durrett Multicolor particle systems with large threshold and range . . . . . . . . . . 127--152 S. Ishak Remarks on a theorem of Burkholder and Gundy . . . . . . . . . . . . . . . . . 153--158 Carl Sundberg and Carl Wagner Characterizations of monotone and $2$-monotone capacities . . . . . . . . 159--167 Marjorie G. Hahn and Daniel C. Weiner Asymptotic behavior of self-normalized trimmed sums: Nonnormal limits II . . . 169--196 Karl Grill Exact rate of convergence in Strassen's law of the iterated logarithm . . . . . 197--204 S. Kalpazidou Circuit processes and the corresponding one-parameter semigroup of weight operators . . . . . . . . . . . . . . . 205--216 Daniel Neuenschwander Limits of commutative triangular systems on simply connected step $2$-nilpotent Lie groups . . . . . . . . . . . . . . . 217--222
Chii-Ruey Hwang and Shuenn-Jyi Sheu Singular perturbed Markov chains and exact behaviors of simulated annealing processes . . . . . . . . . . . . . . . 223--249 P. Feinsilver and R. Schott Appell systems on Lie groups . . . . . . 251--281 Greg Budzban and Arunava Mukherjea Convolution products of nonidentical distributions on a topological semigroup 283--307 Marion Harenbrock and Norbert Schmitz Optional sampling of submartingales with scanned index sets . . . . . . . . . . . 309--326 Michel Talagrand On vector-valued random Fourier series 327--331 Eberhard Siebert Operator-decomposability of Gaussian measures on separable Banach spaces . . 333--347 Hiroshi Sato Nuclearity of a nonnegative definite integral kernel on a separable metric space . . . . . . . . . . . . . . . . . 349--353 Richard C. Bradley On the spectral density and asymptotic normality of weakly dependent random fields . . . . . . . . . . . . . . . . . 355--373 Eric S. Key Rare numbers . . . . . . . . . . . . . . 375--389 Henry Teicher Convergence of self-normalized generalized $U$-statistics . . . . . . . 391--405 Mark D. Rothmann and Ralph P. Russo On boundary crossings of the sample $p$ th quantile . . . . . . . . . . . . . . 407--416
V. Vol'kovich On symmetric stochastic convolutions . . 417--430 Anna Kowalska A new class of libraries . . . . . . . . 431--445 Edward Whalen The asymptotic distribution of magnitude trimmed sums for distributions in the Feller class . . . . . . . . . . . . . . 447--463 K. J. Falconer and G. R. Grimmett On the geometry of random Cantor sets and fractal percolation . . . . . . . . 465--485 Xuerong Mao Solutions of stochastic differential-functional equations via bounded stochastic integral contractors 487--502 W. D. Gerhard The probabilistic solution of the Dirichlet problem for $ \frac {1}{2} \Delta + \left \langle {a, \nabla } \right \rangle + b $ with singular coefficients . . . . . . . . . . . . . . 503--520 L. Accardi and D. Koroliuk Stopping times for quantum Markov chains 521--535 Tomasz Byczkowski and Balram S. Rajput Tail behavior for semigroups of measures on groups . . . . . . . . . . . . . . . 537--544 Jon Aaronson and David Gilat and Michael Keane On the structure of $1$-dependent Markov chains . . . . . . . . . . . . . . . . . 545--561 Maura Salvatori On the norms of group-invariant transition operators on graphs . . . . . 563--576 D. Plachky On semiregular conditional distributions 577--584 David Neal Characterization of $O$-summable processes . . . . . . . . . . . . . . . 585--596 José Luis Palacios Expected cover times of random walks on symmetric graphs . . . . . . . . . . . . 597--600
Jerzy Szulga Series expansions of multiple Lévy integrals . . . . . . . . . . . . . . . 601--615 Yuji Kasahara and Makoto Maejima Limit theorems for trimmed sums . . . . 617--628 Thomas M. Lewis A self normalized law of the iterated logarithm for random walk in random scenery . . . . . . . . . . . . . . . . 629--659 Begoña Fernández and Luis G. Gorostiza Stability of a class of transformations of distribution-valued processes and stochastic evolution equations . . . . . 661--678 E. Csáki and M. Csörg\Ho and A. Földes and P. Révész Strong approximation of additive functionals . . . . . . . . . . . . . . 679--706 André Adler One-sided limit theorems for sums of multidimensional indexed random variables . . . . . . . . . . . . . . . 707--726 Olav Kallenberg Symmetries on random arrays and set-indexed processes . . . . . . . . . 727--765 Geoffrey Grimmett Weak convergence using higher-order cumulants . . . . . . . . . . . . . . . 767--773 Ronald W. J. Meester Connectivity in fractal percolation . . 775--789 Michael B. Marcus and Jay Rosen Moduli of continuity of local times of strongly symmetric Markov processes via Gaussian processes . . . . . . . . . . . 791--825
Robert M. Burton and Gerhard Keller Stationary measures for randomly chosen maps . . . . . . . . . . . . . . . . . . 1--16 David Applebaum On a class of stochastic flows driven by quantum Brownian motion . . . . . . . . 17--32 L. Báez-Duarte Central limit theorem for complex measures . . . . . . . . . . . . . . . . 33--56 Makoto Maejima Trimmed sums of i.i.d. Banach space valued random variables . . . . . . . . 57--69 Andrew L. Rukhin Influence of the prior distribution on the risk of the Bayes rule . . . . . . . 71--87 T. V. Kurien and Jayaram Sethuraman Singularities in Gaussian random fields 89--99 Miguel A. Arcones and Evarist Giné On decoupling, series expansions, and tail behavior of chaos processes . . . . 101--122 Michael S. Bingham Convergence of approximate martingale arrays to mixtures of infinitely divisible distributions in locally compact abelian groups . . . . . . . . . 123--152 Andreas Pechtl Arithmetic means and invariance principles in stochastic approximation 153--173 W. Hazod and H. P. Scheffler The domains of partial attraction of probabilities on groups and on vector spaces . . . . . . . . . . . . . . . . . 175--186 Mark A. Pinsky Fourier inversion for multidimensional characteristic functions . . . . . . . . 187--193
Michael J. Klass and Rainer Wittmann Which I.I.D. Sums are recurrently dominated by their maximal terms? . . . 195--207 Thomas M. Lewis A law of the iterated logarithm for random walk in random scenery with deterministic normalizers . . . . . . . 209--230 A. Barchielli and A. S. Holevo and G. Lupieri An analogue of Hunt's representation theorem in quantum probability . . . . . 231--265 S. L. Zabell A limit theorem for expectations conditional on a sum . . . . . . . . . . 267--283 Victor H. de la Peña Inequalities for tails of adapted processes with an application to Wald's lemma . . . . . . . . . . . . . . . . . 285--302 Jean Bertoin Conditioning a reflected one-dimensional diffusion via its canonical decomposition . . . . . . . . . . . . . 303--321 Kenneth A. Ross and Daming Xu A comparison theorem on convergence rates of random walks on groups . . . . 323--343 E. Seneta Ergodicity for products of infinite stochastic matrices . . . . . . . . . . 345--352 P. Révész Path properties of an infinite system of Wiener processes . . . . . . . . . . . . 353--383 Gérard Letac An explicit calculation of the mean of the perimeter of the convex hull of a plane random walk . . . . . . . . . . . 385--387 Harry Cohn and Olle Nerman and Magda Peligrad Weak ergodicity and products of random matrices . . . . . . . . . . . . . . . . 389--405 M. Sh. Braverman Remarks on characterization of normal and stable distributions . . . . . . . . 407--415
Kai Lai Chung Doeblin's big limit theorem . . . . . . 417--426 Paul Deheuvels and Pál Révész On the coverage of strassen-type sets by sequences of Wiener processes . . . . . 427--449 Allanus H. Tsoi Time reversal of infinite-dimensional point processes . . . . . . . . . . . . 451--461 Jean Jacod and Philip Protter A remark on the weak convergence of processes in the Skorohod topology . . . 463--472 W. Bryc and W. Smole\'nski On the convergence of averages of mixing sequences . . . . . . . . . . . . . . . 473--483 Zoran Vondracek Markov functions of a time-changed recurrent diffusion . . . . . . . . . . 485--497 Paul C. Shields Waiting times: Positive and negative results on the Wyner--Ziv problem . . . 499--519 Paul C. Shields Two divergence-rate counterexamples . . 521--545 James Kuelbs and Wenbo V. Li Small ball estimates for Brownian motion and the Brownian sheet . . . . . . . . . 547--577 Keh-Shin Lii and Murray Rosenblatt Bispectra and phase of non-Gaussian linear processes . . . . . . . . . . . . 579--593 Qi-Man Shao A note on small ball probability of a Gaussian process with stationary increments . . . . . . . . . . . . . . . 595--602 R. Cheng and M. Pourahmadi The mixing rate of a stationary multivariate process . . . . . . . . . . 603--617
Anonymous Important announcement . . . . . . . . . i--i A. K. Basu and D. Bhattacharya On the speed of convergence in the central limit theorem of log-likelihood ratio processes . . . . . . . . . . . . 619--634 Xian Yin Zhou Resistance dimension, random walk dimension and fractal dimension . . . . 635--652 Michael Voit A law of the iterated logarithm for Markov chains on $ N_0 $ associated with orthogonal polynomials . . . . . . . . . 653--669 Peter Eisele Tortrat groups --- Groups with a nice behavior for sequences of shifted convolution powers . . . . . . . . . . . 671--691 Allanus H. Tsoi Integration by parts for a Lie group valued Brownian motion . . . . . . . . . 693--698 K. Matthes and R. Siegmund-Schultze and A. Wakolbinger A spatial zero-one law for equilibria of branching particle systems . . . . . . . 699--711 Mark M. Meerschaert and Jerry Alan Veeh The structure of the exponents and symmetries of an operator stable measure 713--726 Vidmantas Bentkus and Friedrich Götze and Ricardas Zitikis Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to $ \omega $-statistics . . . . . . . . . . . . . . 727--780 Gregory F. Lawler and Thomas W. Polaski Harnack inequalities and difference estimates for random walks with infinite range . . . . . . . . . . . . . . . . . 781--802 M. Casalis and G. Letac and H. Massam A decomposition for the exponential dispersion model generated by the invariant measure on the hyperboloid . . 803--816 Steven N. Evans Local field Brownian motion . . . . . . 817--850
Paul H. Schuette Large deviations for trajectories of sums of independent random variables . . 3--45 M. A. Arcones and B. Yu Central limit theorems for empirical and $U$-processes of stationary mixing sequences . . . . . . . . . . . . . . . 47--71 Vladimir I. Koltchinskii Komlos--Major--Tusnady approximation for the general empirical process and Haar expansions of classes of functions . . . 73--118 Mark D. Rothmann and Ralph P. Russo Strong consistency of the mean on randomly deleted sets . . . . . . . . . 119--128 Vladimir Dobri\'c Weakly compactly generated Banach spaces and the strong law of large numbers . . 129--134 Alexander Koldobsky Characterization of measures by potentials . . . . . . . . . . . . . . . 135--145 Thomas Mikosch Weak invariance principles for weighted $U$-statistics . . . . . . . . . . . . . 147--173 K. Farahmand Local maxima of a random trigonometric polynomial . . . . . . . . . . . . . . . 175--185 Michael Braverman A characterization of probability distributions by moments of sums of independent random variables . . . . . . 187--198 Steve Pincus Singular stationary measures are not always fractal . . . . . . . . . . . . . 199--208 K. J. Falconer and G. R. Grimmett On the geometry of random Cantor sets and fractal percolation . . . . . . . . 209--210
Vidmantas Bentkus On the asymptotical behavior of the constant in the Berry--Esséen inequality 211--224 Hansmartin Zeuner Invariance principles for random walks on hypergroups on $ R_2 $ and $n$ . . . 225--245 H. Kunita Stochastic flows acting on Schwartz distributions . . . . . . . . . . . . . 247--278 H. Kunita Generalized solutions of a stochastic partial differential equation . . . . . 279--308 Magda Peligrad and Qi-Man Shao Self-normalized central limit theorem for sums of weakly dependent random variables . . . . . . . . . . . . . . . 309--338 M. A. Arcones Limits of canonical $U$-processes and $B$-valued $U$-statistics . . . . . . . 339--349 Svetlozar T. Rachev and Gennady Samorodnitsky Geometric stable distributions in Banach spaces . . . . . . . . . . . . . . . . . 351--373 Pierre Picco and Maria Eulalia Vares A law of the iterated logarithm for geometrically weighted martingale difference sequences . . . . . . . . . . 375--415 Ben Salem Nejib Convolution semigroups and central limit theorem associated with a dual convolution structure . . . . . . . . . 417--436 Dimitrios Gatzouras and Steven P. Lalley Statistically self-affine sets: Hausdorff and box dimensions . . . . . . 437--468 Paul Ressel Non-homogeneous de Finetti-type theorems 469--482
Yves Derriennic and Michael Lin Uniform ergodic convergence and averaging along Markov chain trajectories . . . . . . . . . . . . . . 483--497 Marco Dozzi and B. Gail Ivanoff and Ely Merzbach Doob--Meyer decomposition for set-indexed submartingales . . . . . . . 499--525 Piotr S. Kokoszka and Murad S. Taqqu New classes of self-similar symmetric stable random fields . . . . . . . . . . 527--549 Jean Bertoin Increase of stable processes . . . . . . 551--563 Mark Finkelstein and Victor M. Kruglov and Howard G. Tucker Convergence in law of random sums with non-random centering . . . . . . . . . . 565--598 M. Babillot A probabilistic approach to heat diffusion on symmetric spaces . . . . . 599--607 Piotr Graczyk Cramér theorem on symmetric spaces of noncompact type . . . . . . . . . . . . 609--613 Jan Rosi\'nski On uniqueness of the spectral representation of stable processes . . . 615--634 Greg Budzban Necessary and sufficient conditions for the convergence of convolution products of non-identical distributions on finite abelian semigroups . . . . . . . . . . . 635--646 Michel Broniatowski and David M. Mason Extended large deviations . . . . . . . 647--666 I. Berkes and H. Dehling On the almost sure (a.s.) central limit theorem for random variables with infinite variance . . . . . . . . . . . 667--680 K. J. Falconer The multifractal spectrum of statistically self-similar measures . . 681--702
Steven Kalikow and Jonathan L. King A countably-valued sleeping stockbroker process . . . . . . . . . . . . . . . . 703--708 Dietmar Ferger On exact rates of convergence in functional limit theorems for $U$-statistic type processes . . . . . . 709--723 Kyle Siegrist Exponential distributions on semigroups 725--737 Esa Nummelin On distributionally regenerative processes . . . . . . . . . . . . . . . 739--756 Víctor Pérez-Abreu and Constantin Tudor Large deviations for a class of chaos expansions . . . . . . . . . . . . . . . 757--765 Hans-Peter Scheffler $D$-Domains of attraction of stable measures on stratified Lie groups of attraction of stable measures on stratified Lie groups . . . . . . . . . 767--792 Mark M. Meerschaert Norming operators for generalized domains of attraction . . . . . . . . . 793--798 R. K. Getoor and M. J. Sharpe Local times on rays for a class of planar Lévy processes . . . . . . . . . . 799--811 Kenneth A. Ross and Daming Xu Hypergroup deformations and Markov chains . . . . . . . . . . . . . . . . . 813--830 Michel Harel and Madan L. Puri Law of the iterated logarithm for perturbed empirical distribution functions evaluated at a random point for nonstationary random variables . . . 831--855 Steven J. Sepanski Probabilistic characterizations of the Generalized Domain of Attraction of the multivariate normal law . . . . . . . . 857--866 Curtis Miller Three theorems on $ \rho^* $ random fields . . . . . . . . . . . . . . . . . 867--882 Shaul K. Bar-Lev and Daoud Bshouty and Peter Enis and Gérard Letac and I-Li Lu and Donald Richards The diagonal multivariate natural exponential families and their classification . . . . . . . . . . . . . 883--929 Balram S. Rajput and Kavi Rama-Murthy and Tomasz Zak Supports of semi-stable probability measures on locally convex spaces . . . 931--942
Wei-Bin Zeng On characterization of multivariate stable distributions via random linear statistics . . . . . . . . . . . . . . . 1--15 Chou Ching-Sung On some inequalities of local time . . . 17--22 Christian Houdré and Abram Kagan Variance inequalities for functions of Gaussian variables . . . . . . . . . . . 23--30 I. Fleischer and A. Joffe Ratio ergodicity for non-homogeneous Markov Chains in general state spaces 31--37 A. D. Barbour and R. Grübel The first divisible sum . . . . . . . . 39--47 Deli Li and M. Bhaskara Rao and Tiefeng Jiang and Xiangchen Wang Complete convergence and almost sure convergence of weighted sums of random variables . . . . . . . . . . . . . . . 49--76 András Telcs Spectra of graphs and fractal dimensions II . . . . . . . . . . . . . . . . . . . 77--96 V. Dobri\'c and J. E. Yukich Asymptotics for transportation cost in high dimensions . . . . . . . . . . . . 97--118 David Betounes Trace operators, Feynman distributions, and multiparameter white noise . . . . . 119--138 Tamás F. Móri Covering with blocks in the non-symmetric case . . . . . . . . . . . 139--164 Daniel Neuenschwander A Gaussian central limit theorem for trimmed products on simply connected step $2$-Nilpotent Lie groups . . . . . 165--174 S. L. Zabell Characterizing Markov exchangeable sequences . . . . . . . . . . . . . . . 175--178 Donald A. Dawson and Klaus Fleischmann Super-Brownian motions in higher dimensions with absolutely continuous measure states . . . . . . . . . . . . . 179--206 Rabi N. Bhattacharya and Chanho Lee Ergodicity of nonlinear first order autoregressive models . . . . . . . . . 207--219
Evelyne Bernadac Random continued fractions and inverse Gaussian distribution on a symmetric cone . . . . . . . . . . . . . . . . . . 221--259 B. L. S. Prakasa Rao and Arusharka Sen Limit distributions of conditional $U$-statistics . . . . . . . . . . . . . 261--301 Y. Hu and D. Pierre-Loti-Viaud and Z. Shi Laws of the iterated logarithm for iterated Wiener processes . . . . . . . 303--319 Anthony J. D'Aristotile The nearest neighbor random walk on subspaces of a vector space and rate of convergence . . . . . . . . . . . . . . 321--346 Hwai-Chung Ho The law of the iterated logarithm for non-instantaneous filters of strongly dependent Gaussian sequences . . . . . . 347--360 J. Kuelbs and W. V. Li and Qi-man Shao Small ball probabilities for Gaussian processes with stationary increments under Hölder norms . . . . . . . . . . . 361--386 Goran Peskir Uniform convergence of reversed martingales . . . . . . . . . . . . . . 387--415 A. Goswami and Arindam Sengupta Time-space polynomial martingales generated by a discrete-time martingale 417--432 Miguel A. Arcones The low of the iterated logarithm for empirical processes under absolute regularity . . . . . . . . . . . . . . . 433--451 Xian Yin Zhou On the range of reversible random walks on $ Z^2 $ in a random environment . . . 453--473
Mohamed Sifi Central limit theorem and infinitely divisible probabilities associated with partial differential operators . . . . . 475--499 Michael Iltis Sharp asymptotics of large deviations in $ R^d $ . . . . . . . . . . . . . . . . 501--522 Ben-Zion Rubshtein Convolutions of random measures on compact groups . . . . . . . . . . . . . 523--538 Kimberly K. J. Kinateder Corner Markov processes . . . . . . . . 539--547 Jongsig Bae and Shlomo Levental Uniform CLT for Markov chains and its invariance principle: A martingale approach . . . . . . . . . . . . . . . . 549--570 Steven P. Lalley Return probabilities for random walk on a half-line . . . . . . . . . . . . . . 571--599 Jan Ubòe Complex valued multiparameter stochastic integrals . . . . . . . . . . . . . . . 601--624 Jack Cuzick A strong law for weighted sums of i.i.d. random variables . . . . . . . . . . . . 625--641 Terence Chan Some asymptotic results related to the law of iterated logarithm for Brownian motion . . . . . . . . . . . . . . . . . 643--667 I. H. Dinwoodie Occupation measure for random walk on the circle . . . . . . . . . . . . . . . 669--677 I. H. Dinwoodie and Peter Ney Occupation measures for Markov chains 679--691 Burgess Davis and David McDonald An elementary proof of the local central limit theorem . . . . . . . . . . . . . 693--701 John Gregory and H. R. Hughes A generalized approximation theory for quadratic forms: Application to randomized spline type Sturm--Liouville problems . . . . . . . . . . . . . . . . 703--715 H. Carnal and G. M. Fel'dman Phase retrieval for probability measures on abelian groups . . . . . . . . . . . 717--725
Renming Song Feynman--Kac semigroup with discontinuous additive functionals . . . 727--762 Shan Sun Perturbed empirical distribution functions and quantiles under dependence 763--777 Henry Teicher Moments of randomly stopped sums-revisited . . . . . . . . . . . . . 779--793 Daniel Neuenschwander and René Schott On the local and asymptotic behavior of Brownian motion on simply connected nilpotent Lie groups . . . . . . . . . . 795--806 Peter Eichelsbacher and Matthias Löwe A large deviation principle for $m$-variate von Mises-statistics and $U$-statistics . . . . . . . . . . . . . 807--824 Franz Strobl On the reversed sub-martingale property of empirical discrepancies in arbitrary sample spaces . . . . . . . . . . . . . 825--831 Norio Konno Asymptotic behavior of basic contact process with rapid stirring . . . . . . 833--876 Miguel A. Arcones On the law of the iterated logarithm for Gaussian processes . . . . . . . . . . . 877--903 Endre Csáki and Miklós Csörg\Ho On additive functionals of Markov chains 905--919 Harry Kesten Branching random walk with a critical branching part . . . . . . . . . . . . . 921--962 John Gregory and H. R. Hughes A generalized approximation theory for quadratic forms II: Application to randomized spline type focal/conjugate point problems . . . . . . . . . . . . . 963--971 Göran Högnäs and Arunava Mukherjea A mixed random walk on nonnegative matrices: A law of large numbers . . . . 973--990
Anonymous Important announcement . . . . . . . . . 1--1 Piotr S. Kokoszka and Murad S. Taqqu A characterization of mixing processes of type $ G^1 $ . . . . . . . . . . . . 3--17 George L. O'Brien Sequences of capacities, with connections to large-deviation theory 19--35 Makoto Maejima and Svetlozar T. Rachev Rates of convergence in the operator-stable limit theorem . . . . . 37--85 Daniel Rost and Christian Wieckenberg A representation of the Kantorovich-Functional . . . . . . . . . 87--103 Michel Weber Coupling of the GB set property for ergodic averages . . . . . . . . . . . . 105--112 James Allen Fill An exact formula for the move-to-front rule for self-organizing lists . . . . . 113--160 Henry Teicher and Cun-Hui Zhang A decomposition for some $U$-type statistics . . . . . . . . . . . . . . . 161--170 Sergio Albeverio and Xian Yin Zhou A martingale approach to directed polymers in a random environment . . . . 171--189 Michel Talagrand Lower classes for fractional Brownian motion . . . . . . . . . . . . . . . . . 191--213 S. G. Dani and M. McCrudden Infinitely divisible probabilities on discrete linear groups . . . . . . . . . 215--229 Itai Benjamini and Robin Pemantle and Yuval Peres Random walks in varying dimensions . . . 231--244 Robert J. Adler and Lidia Ivanitskaya A superprocess with a disappearing self-interaction . . . . . . . . . . . . 245--261
J. A. Cuesta-Albertos and C. Matrán-Bea and A. Tuero-Diaz On lower bounds for the $ L^2 $--Wasserstein metric in a Hilbert space 263--283 Jianfeng Feng The hydrodynamic limit for the reaction diffusion equation --- An approach in terms of the GPV method . . . . . . . . 285--299 Ferenc Weisz Duality results and inequalities with respect to Hardy spaces containing function sequences . . . . . . . . . . . 301--316 Davar Khoshnevisan and Thomas M. Lewis The uniform modulus of continuity of iterated Brownian motion . . . . . . . . 317--333 Zoran Vondracek A characterization of certain diffusions on the Sierpi\'nski gasket by the exit distributions . . . . . . . . . . . . . 335--352 Michael Voit Limit theorems for compact two-point homogeneous spaces of large dimensions 353--370 Michel Talagrand The Glivenko--Cantelli problem, ten years later . . . . . . . . . . . . . . 371--384 Evarist Giné and Cun-Hui Zhang On integrability in the LIL for degenerate $U$-statistics . . . . . . . 385--412 Eric S. Key Divergence rates for the number of rare numbers . . . . . . . . . . . . . . . . 413--428 J.-C. Gruet and Z. Shi The occupation time of Brownian motion in a ball . . . . . . . . . . . . . . . 429--445 Jean Bertoin and Marc Yor Some independence results related to the arc-sine law . . . . . . . . . . . . . . 447--458 P. Diaconis and L. Saloff-Coste Nash inequalities for finite Markov chains . . . . . . . . . . . . . . . . . 459--510 Kenneth J. Hochberg and Enzo Orsingher Composition of stochastic processes governed by higher-order parabolic and hyperbolic equations . . . . . . . . . . 511--532 Tomasz Byczkowski and Balram S. Rajput and Tomasz Zak Zeros of the densities of infinitely divisible measures on $ R^n $ . . . . . 533--540
M. Bloznelis Central limit theorem for stochastically continuous processes. Convergence to stable limit . . . . . . . . . . . . . . 541--560 Laurent Serlet The occupation measure of super-Brownian motion conditioned to nonextinction . . 561--578 Michel Talagrand and Yimin Xiao Fractional Brownian motion and packing dimension . . . . . . . . . . . . . . . 579--593 Jean B. Lasserre Existence and uniqueness of an invariant probability for a class of Feller Markov chains . . . . . . . . . . . . . . . . . 595--612 Wolfgang Stolz Some small ball probabilities for Gaussian processes under nonuniform norms . . . . . . . . . . . . . . . . . 613--630 Torben Maack Bisgaard Method of moments on semigroups . . . . 631--645 Matthias Heck A perturbation result for the asymptotic behavior of matrix powers . . . . . . . 647--658 Richard C. Bradley A ``Multiplicative Coboundary'' theorem for some sequences of random matrices 659--678 Zhonggen Su The law of the iterated logarithm and Marcinkiewicz law of large numbers for $B$-valued $U$-statistics . . . . . . . 679--701 Magda Peligrad On the asymptotic normality of sequences of weak dependent random variables . . . 703--715 E. Csáki and M. Csörgó and A. Földes and P. Révész The local time of iterated Brownian motion . . . . . . . . . . . . . . . . . 717--743 Karl H. Hofmann and Zbigniew J. Jurek Some analytical semigroups occurring in probability theory . . . . . . . . . . . 745--763 V. Bentkus and M. Bloznelis and F. Götze A Berry--Esséen bound for Student's statistic in the non-I.I.D. case . . . . 765--796 Tapas K. Chandra and Subhashis Ghosal The strong law of large numbers for weighted averages under dependence assumptions . . . . . . . . . . . . . . 797--809
Michael A. Kouritzin On the interrelation of almost sure invariance principles for certain stochastic adaptive algorithms and for partial sums of random variables . . . . 811--840 R. J. Tomkins Rates of convergence for the stability of large order statistics . . . . . . . 841--851 Juha Vuolle-Apiala Skew Brownian motion-type of extensions 853--861 Carles Rovira and Marta Sanz-Solé The law of the solution to a nonlinear hyperbolic SPDE . . . . . . . . . . . . 863--901 B. Gail Ivanoff and Ely Merzbach A martingale characterization of the set-indexed Brownian motion . . . . . . 903--913 Z. Shi Small ball probabilities for a Wiener process under weighted sup-norms, with an application to the supremum of Bessel local times . . . . . . . . . . . . . . 915--929 Mark M. Meerschaert and Hans-Peter Scheffler Series representation for semistable laws and their domains of semistable attraction . . . . . . . . . . . . . . . 931--959 Rüdiger Kiesel and Ulrich Stadtmüller Erd\Hos--Rényi--Shepp laws and weighted sums of independent identically distributed random variables . . . . . . 961--982 Shirin Handjani and Douglas Jungreis Rate of convergence for shuffling cards by transpositions . . . . . . . . . . . 983--993 Vidmantas Bentkus and Gyula Pap The accuracy of Gaussian approximations in nilpotent Lie groups . . . . . . . . 995--1017 P. Heinrich Zero--one laws for polynomials in Gaussian random variables: A simple proof . . . . . . . . . . . . . . . . . 1019--1027 David Nualart and Philip Protter Skorohod integral of a product of two stochastic processes . . . . . . . . . . 1029--1037 Geoffrey Pritchard Sample behavior of some random series 1039--1056
Shihong Cheng and Laurens de Haan and Xin Huang Rate of Convergence of Intermediate Order Statistics . . . . . . . . . . . . 1--23 T. S. Mountford and P. O'hara and S. C. Port Large Gaps in the Range of Stable Processes . . . . . . . . . . . . . . . 25--50 Mark M. Meerschaert and Hans-Peter Scheffler Spectral Decomposition for Generalized Domains of Semistable Attraction . . . . 51--71 Jan Rosi\'nski and Tomasz Zak The Equivalence of Ergodicity and Weak Mixing for Infinitely Divisible Processes . . . . . . . . . . . . . . . 73--86 Sungchul Lee The Continuity of $m$ and $n$ in Greedy Lattice Animals . . . . . . . . . . . . 87--100 M. A. Lifshits and M. Weber Strassen Laws of Iterated Logarithm for Partially Observed Processes . . . . . . 101--115 Andrzej Luczak Exponents and Symmetry of Operator Lévy's Probability Measures on Finite Dimensional Vector Spaces . . . . . . . 117--129 Mark D. Rothmann and Ralph P. Russo On the Limiting Proportion of Types . . 131--143 J. Hoffmann-Jòrgensen and K-L. Su and R. L. Taylor The Law of Large Numbers and the Ito--Nisio Theorem for Vector Valued Random Fields . . . . . . . . . . . . . 145--183 Greg Budzban and Imre Ruzsa Some Results Concerning Convergence of Convolution Products of Probability Measures on Discrete Semigroups . . . . 185--200 Ming Liao Random Motion of a Rigid Body . . . . . 201--211 Donald A. Dawson and Klaus Fleischmann A Continuous Super--Brownian Motion in a Super--Brownian Medium . . . . . . . . . 213--276
A. Mukherjea Preface . . . . . . . . . . . . . . . . 277--277 T. C. Sun Murray Rosenblatt: His Contributions to Probability and Statistics . . . . . . . 279--286 Anonymous Publications of Murray Rosenblatt . . . 287--293 Murray Rosenblatt Some Simple Remarks on an Autoregressive Scheme and an Implied Problem . . . . . 295--305 W\lodzimierz Bryc and Amir Dembo Large Deviations for Quadratic Functionals of Gaussian Processes . . . 307--332 P. S. Griffin A Note on Random Sums with Nonrandom Centering . . . . . . . . . . . . . . . 333--348 Holger Dette and James Allen Fill and Jim Pitman and William J. Studden Wall and Siegmund Duality Relations for Birth and Death Chains with Reflecting Barrier . . . . . . . . . . . . . . . . 349--374 S. Dhar and A. Mukherjea Convergence in Distribution of Products of I.I.D. Nonnegative Matrices . . . . . 375--393 Harry Kesten and Ross A. Maller Divergence of a Random Walk Through Deterministic and Random Subsequences 395--427 David R. Brillinger A Particle Migrating Randomly on a Sphere . . . . . . . . . . . . . . . . . 429--443 Peter J. Bickel and Peter Bühlmann Closure of Linear Processes . . . . . . 445--479 Richard A. Davis and William T. M. Dunsmuir Least Absolute Deviation Estimation for Regression with ARMA Errors . . . . . . 481--497 A. Mukherjea and J. S. Ratti Continuous Singularity of the Weak Limit of Convolution Powers of a Discrete Probability Measure on $ 2 \times 2 $ Stochastic Matrices . . . . . . . . . . 499--506 Richard C. Bradley On Quantiles and the Central Limit Question for Strongly Mixing Sequences 507--555
Philippe Berthet On the Rate of Clustering to the Strassen Set for Increments of the Uniform Empirical Process . . . . . . . 557--579 Gonzalo Perera Geometry of $ \mathbb {Z}^d $ and the Central Limit Theorem for Weakly Dependent Random Fields . . . . . . . . 581--603 André Adler and Andrew Rosalsky and Andrej I. Volodin Weak Laws with Random Indices for Arrays of Random Elements in Rademacher Type $p$ Banach Spaces . . . . . . . . . . . 605--623 Z. Shi Time Difference on the Brownian Curve 625--642 Sreela Gangopadhyay and B. V. Rao Some Finitely Additive Probability: Random Walks . . . . . . . . . . . . . . 643--657 E. M. Rains Combinatorial Properties of Brownian Motion on the Compact Classical Groups 659--679 Florence Merlev\`ede and Magda Peligrad and Sergey Utev Sharp Conditions for the CLT of Linear Processes in a Hilbert Space . . . . . . 681--693 Xia Chen The Law of the Iterated Logarithm for $m$-Dependent Banach Space Valued Random Variables . . . . . . . . . . . . . . . 695--732 Itai Benjamini and Susan Lee Conditioned Diffusions which are Brownian Bridges . . . . . . . . . . . . 733--736 Shirin J. Handjani Survival of Threshold Contact Processes 737--746 Jeesen Chen Revisit the Lovász Local Lemma . . . . . 747--758 Kameswarrao S. Casukhela Symmetric Distributions of Random Measures in Higher Dimensions . . . . . 759--771 Hassan Allouba and Rick Durrett and John Hawkes and Edwin Perkins Super-Tree Random Measures . . . . . . . 773--794 Philip Feinsilver and Uwe Franz and René Schott Duality and Multiplicative Stochastic Processes on Quantum Groups . . . . . . 795--818
Elton P. Hsu Stochastic Local Gauss--Bonnet--Chern Theorem . . . . . . . . . . . . . . . . 819--834 Yaozhong Hu Itô-Wiener Chaos Expansion with Exact Residual and Correlation, Variance Inequalities . . . . . . . . . . . . . . 835--848 Yimin Xiao Weak Variation of Gaussian Processes . . 849--866 Hél\`ene Massam and Erhard Neher On Transformations and Determinants of Wishart Variables on Symmetric Cones . . 867--902 Peter Eichelsbacher Large Deviations for Products of Empirical Probability Measures in the $ \tau $-Topology . . . . . . . . . . . . 903--920 J. M. Anderson and Loren D. Pitt Large Time Asymptotics for Brownian Hitting Densities of Transient Concave Curves . . . . . . . . . . . . . . . . . 921--934 Peter March and Timo Seppäläinen Large Deviations from the Almost Everywhere Central Limit Theorem . . . . 935--965 Wojciech Jaworski Contractive Automorphisms of Locally Compact Groups and the Concentration Function Problem . . . . . . . . . . . . 967--989 K. Farahmand and P. Hannigan The Expected Number of Local Maxima of a Random Algebraic Polynomial . . . . . . 991--1002 H. Heyer and G. Pap Convergence of Noncommutative Triangular Arrays of Probability Measures on a Lie Group . . . . . . . . . . . . . . . . . 1003--1052 Steven J. Sepanski Some Invariance Principles for Random Vectors in the Generalized Domain of Attraction of the Multivariate Normal Law . . . . . . . . . . . . . . . . . . 1053--1063 H. Carnal and G. M. Fel'dman Phase Retrieval for Probability Measures on Abelian Groups II . . . . . . . . . . 1065--1074
Boualem Djehiche and Alexander Schied Large Deviations for Hierarchical Systems of Interacting Jump Processes 1--24 S. Brassesco and P. Butt\`a and A. De Masi and E. Presutti Interface Fluctuations and Couplings in the $ D = 1 $ Ginzburg--Landau Equation with Noise . . . . . . . . . . . . . . . 25--80 Johan Jonasson On Positive Random Objects . . . . . . . 81--125 Aimé Lachal Some Martingales Related to the Integral of Brownian Motion. Applications to the Passage Times and Transience . . . . . . 127--156 Michael B. Marcus and Michel Talagrand Continuity Conditions for a Class of Gaussian Chaos Processes Related to Continuous Additive Functionals of Lévy Processes . . . . . . . . . . . . . . . 157--179 Shaogang Xu An Ergodic Process of Zero Divergence-Distance from the Class of All Stationary Processes . . . . . . . . 181--195 Wolfgang Stadje Two Ergodic Sample-Path Properties of the Poisson Process . . . . . . . . . . 197--208 Rüdiger Kiesel Strong Laws and Summability for $ \phi $-Mixing Sequences of Random Variables 209--224 I. Kaj and S. Sagitov Limit Processes for Age-Dependent Branching Particle Systems . . . . . . . 225--257 S. E. Graversen and G. Peskir Optimal Stopping and Maximal Inequalities for Linear Diffusions . . . 259--277 Henry Teicher On the Marcinkiewicz--Zygmund Strong Law for $U$-Statistics . . . . . . . . . . . 279--288 Michel Talagrand A General Lower Bound for Gaussian Chaos 289--301
René L. Schilling Feller Processes Generated by Pseudo-Differential Operators: On the Hausdorff Dimension of Their Sample Paths . . . . . . . . . . . . . . . . . 303--330 Shunlong Luo A Nonlinear Deformation of Wiener Space 331--350 Evarist Giné and David M. Mason On the LIL for Self-Normalized Sums of IID Random Variables . . . . . . . . . . 351--370 M. S. Sgibnev On the Asymptotic Behavior of the Harmonic Renewal Measure . . . . . . . . 371--382 Yimin Xiao Local Times and Related Properties of Multidimensional Iterated Brownian Motion . . . . . . . . . . . . . . . . . 383--408 Sreela Gangopadhyay and B. V. Rao Strategic Purely Nonatomic Random Walks 409--415 Yongzhao Shao and Raúl Jiménez Entropy for Random Partitions and Its Applications . . . . . . . . . . . . . . 417--433 F. Martínez and A. R. Villena Path Regularity and Regularity in Mean of 1st Order Processes . . . . . . . . . 435--442 Deli Li and R. J. Tomkins Compact Laws of the Iterated Logarithm for $B$-Valued Random Variables with Two-Dimensional Indices . . . . . . . . 443--459 J. Kuelbs and M. Ledoux On Convex Limit Sets and Brownian Motion 461--492 Elisa Al\`os and David Nualart An Extension of Itô's Formula for Anticipating Processes . . . . . . . . . 493--514 Robert Adler and Roger Tribe Uniqueness for a Historical SDE with a Singular Interaction . . . . . . . . . . 515--533 Marjorie G. Hahn and Michael J. Klass Optimal Upper and Lower Bounds for the Upper Tails of Compound Poisson Processes . . . . . . . . . . . . . . . 535--559 Robin Pemantle and Stanislav Volkov Markov Chains in a Field of Traps . . . 561--569 S. G. Dani and C. R. E. Raja A Note on Tortrat Groups . . . . . . . . 571--576
George L. O'Brien and Stephen Watson Relative Compactness for Capacities, Measures, Upper Semicontinuous Functions and Closed Sets . . . . . . . . . . . . 577--588 Dmitrii S. Silvestrov and Örjan Stenflo Ergodic Theorems for Iterated Function Systems Controlled by Regenerative Sequences . . . . . . . . . . . . . . . 589--608 A. S. Fainleib On Small Values of Semi-Additive Functions . . . . . . . . . . . . . . . 609--619 Subhashis Ghosal and Tapas K. Chandra Complete Convergence of Martingale Arrays . . . . . . . . . . . . . . . . . 621--631 H. Byczkowska and T. Byczkowski Zero--One Law for Symmetric Convolution Semigroups of Measures on Groups . . . . 633--643 Vladimir I. Koltchinskii Differentiability of Inverse Operators and Limit Theorems for Inverse Functions 645--699 Christiane Takacs and Roland Takacs Random Walks on Trees and an Inequality of Means . . . . . . . . . . . . . . . . 701--714 F. Götze and A. Yu. Zaitsev Estimates for the Rapid Decay of Concentration Functions of $n$-Fold Convolutions . . . . . . . . . . . . . . 715--731 Leonid Mytnik Collision Measure and Collision Local Time for $ (\alpha, d, \beta) $ Superprocesses . . . . . . . . . . . . . 733--763 Yueyun Hu and Zhan Shi The Local time of Simple Random Walk in Random Environment . . . . . . . . . . . 765--793 Ioannis Kontoyiannis Asymptotic Recurrence and Waiting Times for Stationary Processes . . . . . . . . 795--811 Dragan Radulovi\'c Can We Bootstrap Even if CLT Fails? . . 813--830 María Emilia Caballero and Begoña Fernández and David Nualart Estimation of Densities and Applications 831--851 Sergey Utev and Niels G. Becker A Limit Result for $U$-Statistics of Binary Variables . . . . . . . . . . . . 853--856
S. Bagh Average Number of Real Roots of Random Harmonic Equations . . . . . . . . . . . 857--868 Kaoukeb Turki-Moalla Rates of Convergence and Law of the Iterated Logarithm for $U$-Processes . . 869--906 Claude Lef\`evre and Sergey Utev On Order-Preserving Properties of Probability Metrics . . . . . . . . . . 907--920 Arup Bose A Glivenko--Cantelli Theorem and Strong Laws for $L$-Statistics . . . . . . . . 921--933 Balint Virag Random Walks On Finite Convex Sets Of Lattice Points . . . . . . . . . . . . . 935--951 P. Révész The Maximum of a Critical Branching Wiener Process . . . . . . . . . . . . . 953--977 Henry Teicher Strong Laws for Martingale Differences and Independent Random Variables . . . . 979--995 Paul Deheuvels On the Approximation of Quantile Processes by Kiefer Processes . . . . . 997--1018 Harry Kesten and R. A. Maller Random Walks Crossing High Level Curved Boundaries . . . . . . . . . . . . . . . 1019--1074 A. de Acosta and Xia Chen Moderate Deviations for Empirical Measures of Markov Chains: Upper Bounds 1075--1110 Leonid G. Hanin and Bertram M. Schreiber Discrete Spectrum of Nonstationary Stochastic Processes on Groups . . . . . 1111--1133
Suman Majumdar On a Laplace Transform Based Metric for Probabilities on a Hilbert Space . . . . 1--11 Vladimir I. Chebotarev Remark on the Cramér Type Condition for $ \omega^2$-Statistic . . . . . . . . . . 13--25 Martin J. B. Appel and Michael J. Klass and Ralph P. Russo A Series Criterion for the Almost-Sure Growth Rate of the Generalized Diameter of an Increasing Sequence of Random Points . . . . . . . . . . . . . . . . . 27--47 Jiming Jiang Some Laws of the Iterated Logarithm for Two Parameter Martingales . . . . . . . 49--74 Patrizia Berti and Pietro Rigo Sufficient Conditions for the Existence of Disintegrations . . . . . . . . . . . 75--86 Magda Peligrad and Allan Gut Almost-Sure Results for a Class of Dependent Random Variables . . . . . . . 87--104 Yong-Kab Choi and Norio Kôno How Big Are the Increments of a Two-Parameter Gaussian Process? . . . . 105--129 J. Hoffmann-Jòrgensen The Arcsine Law . . . . . . . . . . . . 131--145 Matthias K. Heck Principles of Large Deviations for the Empirical Processes of the Ornstein--Uhlenbeck Process . . . . . . 147--179 Arup Bose and Arusharka Sen The Strong Law of Large Numbers for Kaplan--Meier $U$-Statistics . . . . . . 181--200 Michael Larsen and Russell Lyons Coalescing Particles on an Interval . . 201--205 Yuji Kasahara and Namiko Ogawa A Note on the Local Time of Fractional Brownian Motion . . . . . . . . . . . . 207--216 Amber L. Puha A Reversible Nearest Particle System on the Homogeneous Tree . . . . . . . . . . 217--254 J. R. Dorroh and G. Ferreyra and P. Sundar A Technique for Stochastic Control Problems with Unbounded Control Set . . 255--270 P. J. Fitzsimmons Markov Processes with Equal Capacities 271--292
Sergio Albeverio and Astrid Hilbert and Vassili Kolokoltsov Estimates Uniform in Time for the Transition Probability of Diffusions with Small Drift and for Stochastically Perturbed Newton Equations . . . . . . . 293--300 Z. D. Bai and Baiqi Miao and Jhishen Tsay Remarks on the Convergence Rate of the Spectral Distributions of Wigner Matrices . . . . . . . . . . . . . . . . 301--311 Yueyun Hu Hausdorff and Packing Measures of the Level Sets of Iterated Brownian Motion 313--346 Makoto Maejima and Ken-iti Sato Semi-Selfsimilar Processes . . . . . . . 347--373 Piotr Graczyk Factorization Theorems on Symmetric Spaces of Noncompact Type . . . . . . . 375--383 Qi-Man Shao A Cramér Type Large Deviation Result for Student's $t$-Statistic . . . . . . . . 385--398 Natalia Gorn and Mikhail Lifshits Chung's Law and The Csáki Function . . . 399--420 Xia Chen The Law of the Iterated Logarithm for Functionals of Harris Recurrent Markov Chains: Self Normalization . . . . . . . 421--445 Richard Durrett and Boris L. Granovsky and Shay Gueron The Equilibrium Behavior of Reversible Coagulation--Fragmentation Processes . . 447--474 Ming Liao Isometric Stochastic Flows on Spheres 475--488 Michael B. Marcus and Jay Rosen Multiple Wick Product Chaos Processes 489--522 Rita Solomyak Essential Spanning Forests and Electrical Networks on Groups . . . . . 523--548 Johan Jonasson and Jeffrey E. Steif Amenability and Phase Transition in the Ising Model . . . . . . . . . . . . . . 549--559 C. Robinson Edward Raja On a Class of Hungarian Semigroups and the Factorization Theorem of Khinchin 561--569 A. Mukherjea and A. Nakassis and J. S. Ratti On the Distribution of the Limit of Products of I.I.D. $ 2 \times 2 $ Random Stochastic Matrices . . . . . . . . . . 571--583 Uwe Franz and Daniel Neuenschwander and René Schott Phase Retrieval for Probability Distributions on Quantum Groups and Braided Groups . . . . . . . . . . . . . 585--594
Nathalie Eisenbaum and Zhan Shi Measuring the Rarely Visited Sites of Brownian Motion . . . . . . . . . . . . 595--613 Miguel A. Arcones The Law of the Iterated Logarithm over a Stationary Gaussian Sequence of Random Vectors . . . . . . . . . . . . . . . . 615--641 Alberto L. Maltz On the Central Limit Theorem for Nonuniform $ \phi $-Mixing Random Fields 643--660 Liming Wu Exponential Convergence in Probability for Empirical Means of Brownian Motion and of Random Walks . . . . . . . . . . 661--673 Andrius Jankunas Local Asymptotic Normality for Linear Homogeneous Difference Equations with Non--Gaussian Noise . . . . . . . . . . 675--697 Wenbo V. Li and Qi-Man Shao Small Ball Estimates for Gaussian Processes under Sobolev Type Norms . . . 699--720 Peter Imkeller and Ferenc Weisz Critical Dimensions for the Existence of Self-Intersection Local Times of the $n$-Parameter Brownian Motion in $ R^d$ 721--737 David Gluck First Hitting Times for Some Random Walks on Finite Groups . . . . . . . . . 739--755 Steven J. Sepanski A Compact Law of the Iterated Logarithm for Random Vectors in the Generalized Domain of Attraction of the Multivariate Gaussian Law . . . . . . . . . . . . . . 757--778 Paolo Baldi and Lucia Caramellino Large and Moderate Deviations for Random Walks on Nilpotent Groups . . . . . . . 779--809 Aurel Spataru Precise Asymptotics in Spitzer's Law of Large Numbers . . . . . . . . . . . . . 811--819 Mark M. Meerschaert and Hans-Peter Scheffler Sample Covariance Matrix for Random Vectors with Heavy Tails . . . . . . . . 821--838 David Aldous and Steven N. Evans Dirichlet Forms on Totally Disconnected Spaces and Bipartite Markov Chains . . . 839--857 Olav Kallenberg Multivariate Sampling and the Estimation Problem for Exchangeable Arrays . . . . 859--883
Radu Zaharopol and Gheorghita Zbaganu Dobrushin Coefficients of Ergodicity and Asymptotically Stable $ L^1 $-Contractions . . . . . . . . . . . . . 885--902 Steven P. Lalley Rifle Shuffles and Their Associated Dynamical Systems . . . . . . . . . . . 903--932 Jérôme Couvreux and Christian Hess A Lévy Type Martingale Convergence Theorem for Random Sets with Unbounded Values . . . . . . . . . . . . . . . . . 933--969 Wenbo V. Li Small Deviations for Gaussian Markov Processes Under the Sup--Norm . . . . . 971--984 István Berkes and Lajos Horváth Limit Theorems for Logarithmic Averages of Fractional Brownian Motions . . . . . 985--1009 Alexander Schied Existence and Regularity for a Class of Infinite-Measure $ (\xi, \psi, K) $-Superprocesses . . . . . . . . . . . . 1011--1035 K. Farahmand and A. Grigorash Complex Zeros of Algebraic Polynomial with Non-Zero Mean Random Coefficients 1037--1044 Jean-François Chamayou and Gérard Letac Additive Properties of the Dufresne Laws and Their Multivariate Extension . . . . 1045--1066 Rabi Bhattacharya and Mukul Majumdar On a Theorem of Dubins and Freedman . . 1067--1087 Zbigniew J. Jurek and Daniel Neuenschwander $s$-Stable Laws in Insurance and Finance and Generalization to Nilpotent Lie Groups . . . . . . . . . . . . . . . . . 1089--1107 A. Mukherjea and A. Nakassis and J. S. Ratti Addendum to ``On the Distribution of the Limit of Products of i.i.d. $ 2 \times 2 $ Random Stochastic Matrices'' . . . . . 1109--1112
Uwe Einmahl and David M. Mason An Empirical Process Approach to the Uniform Consistency of Kernel-Type Function Estimators . . . . . . . . . . 1--37 Yu. Davydov and V. Paulauskas and A. Rackauskas More on $p$-Stable Convex Sets in Banach Spaces . . . . . . . . . . . . . . . . . 39--64 Riddhi Shah Selfdecomposable Measures on Simply Connected Nilpotent Groups . . . . . . . 65--83 Berthold Wittje Spitzer's Strong Law of Large Numbers in Nonseparable Banach Spaces . . . . . . . 85--92 Charles Castaing and Paul Raynaud de Fitte $ \mathfrak {S} $-Uniform Scalar Integrability and Strong Laws of Large Numbers for Pettis Integrable Functions with Values in a Separable Locally Convex Space . . . . . . . . . . . . . . 93--134 Sergei Chobanyan and V. Mandrekar On Kolmogorov SLLN Under Rearrangements for ``Orthogonal'' Random Variables in a $B$-Space . . . . . . . . . . . . . . . 135--139 Mohamed Rifi and Frederic Utzet On the Asymptotic Behavior of Weighted $U$-Statistics . . . . . . . . . . . . . 141--167 Toshiro Watanabe Continuity Properties of Distributions with Some Decomposability . . . . . . . 169--191 S. Moret and D. Nualart Quadratic Covariation and Itô's Formula for Smooth Nondegenerate Martingales . . 193--224 P. Del Moral and M. Ledoux Convergence of Empirical Processes for Interacting Particle Systems with Applications to Nonlinear Filtering . . 225--257 L. Chaumont An Extension of Vervaat's Transformation and Its Consequences . . . . . . . . . . 259--277 Zoran Vondracek Asymptotics of First-Passage Time Over a One-Sided Stochastic Boundary . . . . . 279--309
Nhansook Cho and Youngmee Kwon Limit of Solutions of a SDE with a Large Drift Driven by a Poisson Random Measure 311--325 Anthony D'Aristotile An Invariance Principle for Triangular Arrays . . . . . . . . . . . . . . . . . 327--341 Qi-Man Shao A Comparison Theorem on Moment Inequalities Between Negatively Associated and Independent Random Variables . . . . . . . . . . . . . . . 343--356 Thomas Dunker Estimates for the Small Ball Probabilities of the Fractional Brownian Sheet . . . . . . . . . . . . . . . . . 357--382 David Applebaum Compound Poisson Processes and Lévy Processes in Groups and Symmetric Spaces 383--425 Joseph G. Conlon and Renming Song Random Walks Associated with Non-Divergence Form Elliptic Equations 427--489 Raphaël Cerf Large Deviations of the Finite Cluster Shape for Two-Dimensional Percolation in the Hausdorff and $ L_1 $ Metric . . . . 491--517 I. B. Alberink A Berry--Esséen Bound for $U$-Statistics in the Non--I.I.D. Case . . . . . . . . 519--533 Russell Lyons Singularity of Some Random Continued Fractions . . . . . . . . . . . . . . . 535--545 E. del Barrio and C. Matrán The Weighted Bootstrap Mean for Heavy-Tailed Distributions . . . . . . . 547--569 Hrvoje Siki\'c Zero--One Law for some Brownian Functionals . . . . . . . . . . . . . . 571--574 Rick Durrett and Rinaldo B. Schinazi Boundary Modified Contact Processes . . 575--594 K. B. Athreya and Jack Dai Random Logistic Maps. I . . . . . . . . 595--608
Ulrich Hirth and Paul Ressel Exchangeable Random Orders and Almost Uniform Distributions . . . . . . . . . 609--634 Kumi Yasuda On Infinitely Divisible Distributions on Locally Compact Abelian Groups . . . . . 635--657 Rasul A. Khan and R. J. Tomkins Refinements of the Dubins--Savage Inequality . . . . . . . . . . . . . . . 659--672 Yulia Mishura and Esko Valkeila An Isometric Approach to Generalized Stochastic Integrals . . . . . . . . . . 673--693 Aidan Sudbury Dual Families of Interacting Particle Systems on Graphs . . . . . . . . . . . 695--716 Maher Mili Selective Limit Theorems for Random Walks on Parabolic Biangle and Triangle Hypergroups . . . . . . . . . . . . . . 717--731 Aimé Lachal First Exit Time from a Bounded Interval for a Certain Class of Additive Functionals of Brownian Motion . . . . . 733--775 Jürgen Bennies and Götz Kersting A Random Walk Approach to Galton--Watson Trees . . . . . . . . . . . . . . . . . 777--803 Tiefeng Jiang and George L. O'Brien The Metric of Large Deviation Convergence . . . . . . . . . . . . . . 805--824 Robert Blackburn Large Deviations of Local Times of Lévy Processes . . . . . . . . . . . . . . . 825--842 Oliver Johnson and Yurii Suhov Entropy and Convergence on Compact Groups . . . . . . . . . . . . . . . . . 843--857 G. M. Fel'dman and P. Graczyk On the Skitovich--Darmois Theorem for Compact Abelian Groups . . . . . . . . . 859--869 Kenneth S. Brown Semigroups, Rings, and Markov Chains . . 871--938
Irene Hueter Recovering a Family of Two-Dimensional Gaussian Variables from the Minimum Process . . . . . . . . . . . . . . . . 939--950 Arindam Sengupta Time-Space Harmonic Polynomials for Continuous-Time Processes and an Extension . . . . . . . . . . . . . . . 951--976 Roman Ger and Michael Keane and Jolanta K. Misiewicz On Convolutions and Linear Combinations of Pseudo-Isotropic Distributions . . . 977--995 Y. Nikitin and E. Orsingher On Sojourn Distributions of Processes Related to Some Higher-Order Heat-Type Equations . . . . . . . . . . . . . . . 997--1012 Mark D. Rothmann and Ralph P. Russo Laws of Large Numbers for Observations that Change with Time . . . . . . . . . 1013--1025 Julien Barral Continuity of the Multifractal Spectrum of a Random Statistically Self-Similar Measure . . . . . . . . . . . . . . . . 1027--1060 Thomas S. Mountford and Ted D. Sweet An Extension of Kuczek's Argument to Nonnearest Neighbor Contact Processes 1061--1081 Igor Pak Two Random Walks on Upper Triangular Matrices . . . . . . . . . . . . . . . . 1083--1100 Kimberly K. J. Kinateder Strong Markov Properties for Markov Random Fields . . . . . . . . . . . . . 1101--1114 R. Cheng and A. G. Miamee and M. Pourahmadi Regularity and Minimality of Infinite Variance Processes . . . . . . . . . . . 1115--1122 Endre Csáki and Antónia Földes Asymptotic Independence and Additive Functionals . . . . . . . . . . . . . . 1123--1144
Sergio Albeverio and Xuelei Zhao A Decomposition Theorem for Lévy Processes on Local Fields . . . . . . . 1--19 R. Ibragimov and Sh. Sharakhmetov and A. Cecen Exact Estimates for Moments of Random Bilinear Forms . . . . . . . . . . . . . 21--37 Stefan Geiss Contraction Principles for Vector Valued Martingales with Respect to Random Variables Having Exponential Tail with Exponent $ 2 < \alpha < \infty $ . . . . . 39--59 David Applebaum Operator-Valued Stochastic Differential Equations Arising from Unitary Group Representations . . . . . . . . . . . . 61--76 Endre Csáki and Yueyun Hu Asymptotic Properties of Ranked Heights in Brownian Excursions . . . . . . . . . 77--96 Niels G. Becker and Sergey Utev Threshold Results for $U$-Statistics of Dependent Binary Variables . . . . . . . 97--114 Juha Vuolle-Apiala Walsh's Brownian Motion-Type of Extensions . . . . . . . . . . . . . . . 115--124 V. Bally and A. Matoussi Weak Solutions for SPDEs and Backward Doubly Stochastic Differential Equations 125--164 Yu Zhang A Martingale Approach in the Study of Percolation Clusters on the $ Z^d $ Lattice . . . . . . . . . . . . . . . . 165--187 Yuji Hamana Asymptotics of the Moment Generating Function for the Range of Random Walks 189--197 Servet Martínez and Jaime San Martín Rates of Decay and $h$-Processes for One Dimensional Diffusions Conditioned on Non-Absorption . . . . . . . . . . . . . 199--212 David M. Mason and Zhan Shi Small Deviations for Some Multi-Parameter Gaussian Processes . . . 213--239 N. Guillotin-Plantard Dynamic $ Z_d $-Random Walks in a Random Scenery: A Strong Law of Large Numbers 241--260 Mark A. Pinsky Brownian Continuity Modulus Via Series Expansions . . . . . . . . . . . . . . . 261--266 Ming Dai and Arunava Mukherjea Identification of the Parameters of a Multivariate Normal Vector by the Distribution of the Maximum . . . . . . 267--298
Matthew Harris Nontrivial Phase Transition in a Continuum Mirror Model . . . . . . . . . 299--317 Diane Saada Asymptotic Behavior of Continuous Set-Indexed Martingales . . . . . . . . 319--332 Claudio Asci Generating Uniform Random Vectors . . . 333--356 Thomas M. Lewis The Length of the Longest Head-Run in a Model with Long Range Dependence . . . . 357--378 David Revelle Biased Random Walk on Lamplighter Groups and Graphs . . . . . . . . . . . . . . . 379--391 Liudas Giraitis and Murad S. Taqqu Functional Non-Central and Central Limit Theorems for Bivariate Appell Polynomials . . . . . . . . . . . . . . 393--426 A. Kohatsu-Higa and D. Márquez-Carreras and M. Sanz-Solé Asymptotic Behavior of the Density in a Parabolic SPDE . . . . . . . . . . . . . 427--462 Shizan Fang and Tusheng Zhang Large Deviations for the Brownian Motion on Loop Groups . . . . . . . . . . . . . 463--483 Alexander D. Kolesnik Weak Convergence of a Planar Random Evolution to the Wiener Process . . . . 485--494 Nathanaël Enriquez and Yuri Kifer Markov Chains on Graphs and Brownian Motion . . . . . . . . . . . . . . . . . 495--510 Cun-Hui Zhang Some Moment and Exponential Inequalities for $V$-Statistics with Bounded Kernels 511--525 Robert J. Adler and Srikanth K. Iyer On Changes of Measure for Super Brownian Motion . . . . . . . . . . . . . . . . . 527--557 Nathalie Eisenbaum and Antónia Földes Local Times of Markov Processes Approximated by a Generalized Iterated Brownian Motion . . . . . . . . . . . . 559--576 John H. J. Einmahl and Andrew Rosalsky The Functional Law of the Iterated Logarithm for the Empirical Process Based on Sample Means . . . . . . . . . 577--597 Santanu Chakraborty and B. V. Rao Convolution Powers of Probabilities on Stochastic Matrices . . . . . . . . . . 599--603 Jack Cuzick Erratum: A Strong Law for Weighted Sums of i.i.d. Random Variables, J. Theor. Prob. \bf 8, 625--636 (1995) . . . . . . 605--605 Thomas Dunker Erratum: Estimates for the Small Ball Probabilities of the Fractional Brownian Sheet, J. Theor. Prob. \bf 13, 357--382 (2000) . . . . . . . . . . . . . . . . . 607--608
Dean Slonowsky Strong Martingales: Their Decompositions and Quadratic Variation . . . . . . . . 609--638 Marie F. Kratz and José R. León Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields . . . . . . . . . . 639--672 G. Yin On Limit Results for a Class of Singularly Perturbed Switching Diffusions . . . . . . . . . . . . . . . 673--697 Christiane Takacs More Randomness of Environment Does Not Always Slow Down a Random Walk . . . . . 699--715 Richard C. Bradley A Stationary Rho-Mixing Markov Chain Which Is Not ``Interlaced'' Rho-Mixing 717--727 D. A. Dawson and L. G. Gorostiza and A. Wakolbinger Occupation Time Fluctuations in Branching Systems . . . . . . . . . . . 729--796 Andrzej Krajka The Limiting Behaviour of Randomly Indexed Sequences . . . . . . . . . . . 797--811 Jean-Marc Deshouillers and Gregory A. Freiman and Alexander A. Yudin On Bounds for the Concentration Function II . . . . . . . . . . . . . . . . . . . 813--820 Endre Csáki and Pál Révész and Zhan Shi Long Excursions of a Random Walk . . . . 821--844 Goran Peskir Bounding the Maximal Height of a Diffusion by the Time Elapsed . . . . . 845--855 P. Sawyer The Central Limit Theorem on $ {\rm SO}_0 (p, q) / {\rm SO}(p) \times {\rm SO}(q) $ . . . . . . . . . . . . . . . . 857--866 Michael B. Marcus The Most Visited Sites of Certain Lévy Processes . . . . . . . . . . . . . . . 867--885 A. Bendikov and L. Saloff-Coste On the Absolute Continuity of Gaussian Measures on Locally Compact Groups . . . 887--898 Persi Diaconis and Rick Durrett Chutes and Ladders in Markov Chains . . 899--926
A. Hassairi and S. Lajmi Riesz Exponential Families on Symmetric Cones . . . . . . . . . . . . . . . . . 927--948 V. Bentkus and A. Juozulynas and V. Paulauskas Lévy--LePage Series Representation of Stable Vectors: Convergence in Variation 949--978 Magda Peligrad A Note on the Uniform Laws for Dependent Processes Via Coupling . . . . . . . . . 979--988 Steven J. Sepanski Extreme Values and the Multivariate Compact Law of the Iterated Logarithm 989--1018 Martin Hildebrand Random Lazy Random Walks on Arbitrary Finite Groups . . . . . . . . . . . . . 1019--1034
Anis Matoussi and Michael Scheutzow Stochastic PDEs Driven by Nonlinear Noise and Backward Doubly SDEs . . . . . 1--39 Gordan Zitkovi\'c A Filtered Version of the Bipolar Theorem of Brannath and Schachermayer 41--61 Grzegorz A. Rempala and Jacek Wesolowski Central Limit Theorems for Random Permanents with Correlation Structure 63--76 Olav Kallenberg Ergodic Properties of Palm and Spacing Measures . . . . . . . . . . . . . . . . 77--96 Clyde H. Schoolfield, Jr. A Signed Generalization of the Bernoulli--Laplace Diffusion Model . . . 97--127 C. Tudor and M. Tudor Some Properties of Solutions of Double Stochastic Differential Equations . . . 129--151 M. J. Appel Series Criteria for Growth Rates of Partial Maxima of Iterated Ergodic Map Values . . . . . . . . . . . . . . . . . 153--159 Léonard Gallardo and Khalifa Trim\`eche Renewal Theorems for Singular Differential Operators . . . . . . . . . 161--205 M. V. Menshikov and S. Yu. Popov and V. V. Sisko On the Connection Between Oriented Percolation and Contact Process . . . . 207--221 Xavier Bardina and Maria Jolis Estimation of the Density of Hypoelliptic Diffusion Processes with Application to an Extended Itô's Formula 223--247 Valery Koval A New Law of the Iterated Logarithm in $ R^d $ with Application to Matrix-Normalized Sums of Random Vectors 249--257
Gerold Alsmeyer The Minimal Subgroup of a Random Walk 259--283 B. M. Hambly and O. D. Jones Asymptotically One-Dimensional Diffusion on the Sierpi\'nski Gasket and Multi-Type Branching Processes with Varying Environment . . . . . . . . . . 285--322 Makoto Maejima and Jan Rosi\'nski Type $G$ Distributions on $ \mathbb {R}^d$ . . . . . . . . . . . . . . . . . 323--341 Yuri V. Borovskikh and Neville C. Weber Bounds for Non--Gaussian Approximations of $U$-Statistics . . . . . . . . . . . 343--382 Tatiana Nagnibeda and Wolfgang Woess Random Walks on Trees with Finitely Many Cone Types . . . . . . . . . . . . . . . 383--422 F. Götze and A. Tikhomirov Asymptotic Distribution of Quadratic Forms and Applications . . . . . . . . . 423--475 Mikhail Gordin and Michel Weber On the Almost Sure Central Limit Theorem for a Class of $ Z^d $-Actions . . . . . 477--501 R. Jiménez and J. E. Yukich Asymptotics for Statistical Distances Based on Voronoi Tessellations . . . . . 503--541 Frank N. Proske and Madan L. Puri Strong Law of Large Numbers for Banach Space Valued Fuzzy Random Variables . . 543--551
R. M. Balan and B. G. Ivanoff A Markov Property for Set-Indexed Processes . . . . . . . . . . . . . . . 553--588 Eduard Belinsky and Werner Linde Small Ball Probabilities of Fractional Brownian Sheets via Fractional Integration Operators . . . . . . . . . 589--612 Niclas Carlsson A Contractivity Condition for Iterated Function Systems . . . . . . . . . . . . 613--630 Toshiro Watanabe Shift Self-Similar Additive Random Sequences Associated with Supercritical Branching Processes . . . . . . . . . . 631--665 Clyde H. Schoolfield, Jr. Random Walks on Wreath Products of Groups . . . . . . . . . . . . . . . . . 667--693 Artemi Berlinkov and R. Daniel Mauldin Packing Measure and Dimension of Random Fractals . . . . . . . . . . . . . . . . 695--713 Matthew Nicol and Nikita Sidorov and David Broomhead On the Fine Structure of Stationary Measures in Systems Which Contract-on-Average . . . . . . . . . . 715--730 Kenneth J. Falconer Tangent Fields and the Local Structure of Random Fields . . . . . . . . . . . . 731--750 R. A. Doney and R. A. Maller Stability and Attraction to Normality for Lévy Processes at Zero and at Infinity . . . . . . . . . . . . . . . . 751--792 Alain Rouault and Marc Yor and Marguerite Zani A Large Deviations Principle Related to the Strong Arc-Sine Law . . . . . . . . 793--815 Ilie Grigorescu and Min Kang Brownian Motion on the Figure Eight . . 817--844
Endre Csáki and Miklós Csörg\Ho and Antónia Földes and Zhan Shi and Ricardas Zitikis Pointwise and Uniform Asymptotics of the Vervaat Error Process . . . . . . . . . 845--875 Jean-Christophe Breton Multiple Stable Stochastic Integrals: Series Representation and Absolute Continuity of Their Law . . . . . . . . 877--901 A. Mukherjea and A. Nakassis On the Continuous Singularity of the Limit Distribution of Products of I.I.D. $ d \times d $ Stochastic Matrices . . . 903--918 Lisa Bloomer and Theodore P. Hill Random Probability Measures with Given Mean and Variance . . . . . . . . . . . 919--937 André Adler Generalized One-Sided Laws for the Larger Observations of a Triangular Array . . . . . . . . . . . . . . . . . 939--949 Anatoly N. Kochubei Hausdorff Measure for a Stable-Like Process over an Infinite Extension of a Local Field . . . . . . . . . . . . . . 951--972 Zoltán Megyesi Domains of Geometric Partial Attraction of Max-Semistable Laws: Structure, Merge and Almost Sure Limit Theorems . . . . . 973--1005 J. Kuelbs and W. V. Li A Functional LIL and Some Weighted Occupation Measure Results for Fractional Brownian Motion . . . . . . . 1007--1030 Matthias Löwe and Franz Merkl and Silke Rolles Moderate Deviations for Longest Increasing Subsequences: The Lower Tail 1031--1047
Michael A. Kouritzin and Hongwei Long and Wei Sun Nonlinear Filtering for Diffusions in Random Environments . . . . . . . . . . 1--20 Antónia Földes About the Measure of Heavily Visited Points of the Brownian Motion . . . . . 21--45 Deborah Heicklen and Russell Lyons Change Intolerance in Spanning Forests 47--58 Djamal Louani and Alain Lucas Fractal Dimensions for Some Increments of the Uniform Empirical Process . . . . 59--86 Jared C. Bronski Small Ball Constants and Tight Eigenvalue Asymptotics for Fractional Brownian Motions . . . . . . . . . . . . 87--100 Sergey Utev and Magda Peligrad Maximal Inequalities and an Invariance Principle for a Class of Weakly Dependent Random Variables . . . . . . . 101--115 Wang Chiu On Upper Class of Increments of Fractional Brownian Motion . . . . . . . 117--145 Ilie Grigorescu and Min Kang Path Collapse for an Inhomogeneous Random Walk . . . . . . . . . . . . . . 147--159 V. Bentkus An Inequality for Tail Probabilities of Martingales with Differences Bounded from One Side . . . . . . . . . . . . . 161--173 Shaul K. Bar-Lev and Muriel Casalis A Classification of Reproducible Natural Exponential Families in the Broad Sense 175--196 François Coquet and Jean Mémin and Leszek Slomi\'nski On Non-Continuous Dirichlet Processes 197--216 Gerold Alsmeyer On the Harris Recurrence of Iterated Random Lipschitz Functions and Related Convergence Rate Results . . . . . . . . 217--247 S. Dereich and F. Fehringer and A. Matoussi and M. Scheutzow On the Link Between Small Ball Probabilities and the Quantization Problem for Gaussian Measures on Banach Spaces . . . . . . . . . . . . . . . . . 249--265 J. F. C. Kingman and S. E. Volkov Solution to the OK Corral Model via Decoupling of Friedman's Urn . . . . . . 267--276 Víctor Manuel Rivero On Random Sets Connected to the Partial Records of Poisson Point Process . . . . 277--307
Ming Yuan and Chun Su and Taizhong Hu A Central Limit Theorem for Random Fields of Negatively Associated Processes . . . . . . . . . . . . . . . 309--323 Shirin J. Handjani Inhomogeneous Voter Models in One Dimension . . . . . . . . . . . . . . . 325--338 Ulrich Hirth Exchangeable Random Ordered Trees by Positive Definite Functions . . . . . . 339--344 V. Bentkus and G. Pap and M. Yor Optimal Bounds for Cauchy Approximations for the Winding Distribution of Planar Brownian Motion . . . . . . . . . . . . 345--361 J. A. Cuesta-Albertos and C. Matrán and J. Rodríguez-Rodríguez Approximation to Probabilities Through Uniform Laws on Convex Sets . . . . . . 363--376 Qiying Wang and Yan-Xia Lin and Chandra M. Gulati Strong Approximation for Long Memory Processes with Applications . . . . . . 377--389 Todd Retzlaff Rate of Decay of Concentration Functions on Discrete Groups . . . . . . . . . . . 391--399 Fuqing Gao Moderate Deviations and Large Deviations for Kernel Density Estimators . . . . . 401--418 K. Farahmand Exceedence Measure of Classes of Algebraic Polynomials . . . . . . . . . 419--426 Steffen Dereich Small Ball Probabilities Around Random Centers of Gaussian Measures and Applications to Quantization . . . . . . 427--449 David Nualart and Youssef Ouknine Besov Regularity of Stochastic Integrals with Respect to the Fractional Brownian Motion with Parameter $ H > 1 / 2 $ . . . 451--470 Pieter Allaart Moments of the Mean of Dubins--Freedman Random Probability Distributions . . . . 471--488 Sòren Asmussen and Serguei Foss and Dmitry Korshunov Asymptotics for Sums of Random Variables with Local Subexponential Behaviour . . 489--518
D. Li and R. J. Tomkins The Law of the Logarithm for Weighted Sums of Independent Random Variables . . 519--542 Xinxin Jiang and Marjorie G. Hahn Central Limit Theorems for Exchangeable Random Variables When Limits Are Scale Mixtures of Normals . . . . . . . . . . 543--571 Peter Becker-Kern Stable and Semistable Hemigroups: Domains of Attraction and Self-Decomposability . . . . . . . . . . 573--598 Kelly Wieand Permutation Matrices, Wreath Products, and the Distribution of Eigenvalues . . 599--623 Florence Merlev\`ede On the Central Limit Theorem and Its Weak Invariance Principle for Strongly Mixing Sequences with Values in a Hilbert Space via Martingale Approximation . . . . . . . . . . . . . 625--653 T. K. Chandra and A. Goswami Ces\`aro $ \alpha $-Integrability and Laws of Large Numbers I . . . . . . . . 655--669 Jeffrey S. Rosenthal Geometric Convergence Rates for Time-Sampled Markov Chains . . . . . . . 671--688 Anatolii A. Puhalskii On Large Deviation Convergence of Invariant Measures . . . . . . . . . . . 689--724 Rick Durrett Shuffling Chromosomes . . . . . . . . . 725--750 Elizabeth L. Wilmer A Local Limit Theorem for a Family of Non-Reversible Markov Chains . . . . . . 751--770 Thomas M. Lewis and Geoffrey Pritchard Tail Properties of Correlation Measures 771--788
Samia Beghdadi-Sakrani On Pathwise Uniqueness of Stochastic Differential Equations Without Drift . . 789--812 K. B. Athreya and H.-J. Schuh Random Logistic Maps II. The Critical Case . . . . . . . . . . . . . . . . . . 813--830 Eilon Solan Continuity of the Value of Competitive Markov Decision Processes . . . . . . . 831--845 Göran Högnäs and Arunava Mukherjea Maximal Homomorphic Group Image and Convergence of Convolution Sequences on a Semigroup . . . . . . . . . . . . . . 847--854 Slawomir Kolody\'nski and Jan Rosi\'nski Group Self-Similar Stable Processes in $ R^d $ . . . . . . . . . . . . . . . . . 855--876 B. Burgstaller Doob--Meyer-Decomposition of Hilbert Space Valued Functions . . . . . . . . . 877--898 Wenming Hong Large Deviations for the Super--Brownian Motion with Super--Brownian Immigration 899--922 Christophe Cuny Weak Mixing of Random Walks on Groups 923--933 W\lodzimierz Bryc Large Deviations of Empirical Measures Under Symmetric Interaction . . . . . . 935--955 Juha Vuolle-Apiala On Certain Extensions of a Rotation Invariant Markov Process . . . . . . . . 957--969 Quansheng Liu and Emmanuel Rio and Alain Rouault Limit Theorems for Multiplicative Processes . . . . . . . . . . . . . . . 971--1014 Jean-François Marckert and Abdelkader Mokkadem States [sic] Spaces of the Snake and Its Tour-Convergence of the Discrete Snake 1015--1046 Siegfried Graf and Harald Luschgy and Gilles Pag\`es Functional Quantization and Small Ball Probabilities for Gaussian Processes . . 1047--1062 Bernhard Gittenberger A Note on ``State Spaces of the Snake and Its Tour-Convergence of the Discrete Snake'' by J.-F. Marckert and A. Mokkadem . . . . . . . . . . . . . . . . 1063--1067
C. Cardon-Weber and A. Millet On Strongly Petrovskii's Parabolic SPDEs in Arbitrary Dimension and Application to the Stochastic Cahn--Hilliard Equation . . . . . . . . . . . . . . . . 1--49 Vladas Pipiras and Murad S. Taqqu Dilated Fractional Stable Motions . . . 51--84 De-Jun Feng and Ding Feng On a Statistical Framework for Estimation from Random Set Observations 85--110 Laurent Godefroy Martin Boundary of Polynomial Random Walks on the $d$-Dimensional Lattice of Nonnegative Integers . . . . . . . . . . 111--129 Makoto Katori and Norio Konno and Aidan Sudbury and Hideki Tanemura Dualities for the Domany--Kinzel Model 131--144 Endre Csáki and Yueyun Hu On the Ranked Excursion Heights of a Kiefer Process . . . . . . . . . . . . . 145--163 John Baxter and Roger Jones and Michael Lin and James Olsen SLLN for Weighted Independent Identically Distributed Random Variables 165--181 M. R. Pistorius On Exit and Ergodicity of the Spectrally One-Sided Lévy Process Reflected at Its Infimum . . . . . . . . . . . . . . . . 183--220 Alfredas Rackauskas and Charles Suquet Necessary and Sufficient Condition for the Functional Central Limit Theorem in Hölder Spaces . . . . . . . . . . . . . . 221--243 Younghoon Kim and Sungchul Lee and Zhengyan Lin The Law of the Iterated Logarithm for the Total Length of the Nearest Neighbor Graph . . . . . . . . . . . . . . . . . 245--260 Wenbo V. Li and Werner Linde Small Deviations of Stable Processes via Metric Entropy . . . . . . . . . . . . . 261--284 Anatole Joffe and Éric Marchand and François Perron and Paul Popadiuk On Sums of Products of Bernoulli Variables and Random Permutations . . . 285--292
F. Barthe Infinite Dimensional Isoperimetric Inequalities in Product Spaces with the Supremum Distance . . . . . . . . . . . 293--308 T. Sottinen On Gaussian Processes Equivalent in Law to Fractional Brownian Motion . . . . . 309--325 A. Rosalsky and A. I. Volodin On the Weak Limiting Behavior of Almost Surely Convergent Row Sums from Infinite Arrays of Rowwise Independent Random Elements in Banach Spaces . . . . . . . 327--346 H. Uemura Tanaka Formula for Multidimensional Brownian Motions . . . . . . . . . . . . 347--366 D. Deng Wittmann's Law of Iterated Logarithm for Tail Sums of $B$-Valued Random Variables 367--385 P. S. Chakraborty and A. Dasgupta Invariant Measure and a Limit Theorem for Some Generalized Gauss Maps . . . . 387--401 J. Garcia An Extension of the Contraction Principle . . . . . . . . . . . . . . . 403--434 R. O. Bauer Löwner's Equation from a Noncommutative Probability Perspective . . . . . . . . 435--457 N. B. Yengibarian Factorization of Markov Chains . . . . . 459--481 L. Mytnik and K.-N. Xiang Tanaka Formulae for $ (\alpha, d, \beta)$-Superprocesses . . . . . . . . . 483--502 F. Gao and J. Hannig and T.-Y. Lee and F. Torcaso Exact $ L^2 $ Small Balls of Gaussian Processes . . . . . . . . . . . . . . . 503--520
A. Hassairi and S. Lajmi Classification of Riesz Exponential Families on a Symmetric Cone by Invariance Properties . . . . . . . . . 521--539 T. Uemura On Symmetric Stable-Like Processes: Some Path Properties and Generators . . . . . 541--555 L. C. Zhao and C. Q. Wu and Q. Wang Berry--Esséen Bound for a Sample Sum from a Finite Set of Independent Random Variables . . . . . . . . . . . . . . . 557--572 M. Raic A Multivariate CLT for Decomposable Random Vectors with Finite Second Moments . . . . . . . . . . . . . . . . 573--603 V. A. Kaimanovich and Y. Kifer and B.-Z. Rubshtein Boundaries and Harmonic Functions for Random Walks with Random Transition Probabilities . . . . . . . . . . . . . 605--646 S. Chobanyan and S. Levental and V. Mandrekar Prokhorov Blocks and Strong Law of Large Numbers Under Rearrangements . . . . . . 647--672 D. A. Dawson and Z. Li and X. Zhou Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits . . 673--692 A. Martin Small Ball Asymptotics for the Stochastic Wave Equation . . . . . . . . 693--703 P. Marín-Rubio and J. Real Some Results on Stochastic Differential Equations with Reflecting Boundary Conditions . . . . . . . . . . . . . . . 705--716 T. Bojdecki and L. G. Gorostiza and A. Talarczyk Fractional Brownian Density Process and Its Self-Intersection Local Time of Order $k$ . . . . . . . . . . . . . . . 717--739 W. Jaworski Ergodic and Mixing Probability Measures on [SIN] Groups . . . . . . . . . . . . 741--759 Y. Hu and H. Nyrhinen Large Deviations View Points for Heavy-Tailed Random Walks . . . . . . . 761--768 A. Gut An Extension of the Kolmogorov--Feller Weak Law of Large Numbers with an Application to the St. Petersburg Game 769--779
S. A. Andersson and G. G. Wojnar Wishart Distributions on Homogeneous Cones . . . . . . . . . . . . . . . . . 781--818 S. Brofferio Renewal Theory on the Affine Group of an Oriented Tree . . . . . . . . . . . . . 819--859 J. Dedecker and C. Prieur Coupling for $ \tau $-Dependent Sequences and Applications . . . . . . . 861--885 Z. Lin and X. Wang A Functional Limit Theorem for Observations That Change with Time . . . 887--903 G. Alsmeyer and U. Rösler On the Existence of $ \phi $-Moments of the Limit of a Normalized Supercritical Galton--Watson Process . . . . . . . . . 905--928 G. M. Fel'dman On the Heyde Theorem for Finite Abelian Groups . . . . . . . . . . . . . . . . . 929--941 A. Spataru Exact Asymptotics in $ \log \log $ Laws for Random Fields . . . . . . . . . . . 943--965 L. Wu Large Deviation Principle for Exchangeable Sequences: Necessary and Sufficient Condition . . . . . . . . . . 967--978 T. Simon Small Ball Estimates in $p$-Variation for Stable Processes . . . . . . . . . . 979--1002 S. Chatterjee and A. Bose A New Method for Bounding Rates of Convergence of Empirical Spectral Distributions . . . . . . . . . . . . . 1003--1019 R. Mansuy On a One-Parameter Generalization of the Brownian Bridge and Associated Quadratic Functionals . . . . . . . . . . . . . . 1021--1029 T. M. Retzlaff Decay of Concentration Functions for Adapted Probabilities on Discrete Groups 1031--1040
P. Graczyk and G. Letac and H. Massam The Hyperoctahedral Group, Symmetric Group Representations and the Moments of the Real Wishart Distribution . . . . . 1--42 Jean-Christophe Breton Absolute Continuity of Joint Laws of Multiple Stable Stochastic Integrals . . 43--77 Enkelejd Hashorva Asymptotics and Bounds for Multivariate Gaussian Tails . . . . . . . . . . . . . 79--97 Eric S. Key On the Number of Records in an iid Discrete Sequence . . . . . . . . . . . 99--107 Michael B. Marcus and Jan Rosi\'nski Continuity and Boundedness of Infinitely Divisible Processes: A Poisson Point Process Approach . . . . . . . . . . . . 109--160 Paul Doukhan and Gabriel Lang and Donatas Surgailis and Marie-Claude Viano Functional Limit Theorem for the Empirical Process of a Class of Bernoulli Shifts with Long Memory . . . 161--186 Henri Comman Functional Approach of Large Deviations in General Spaces . . . . . . . . . . . 187--207 Jan Pedersen and Ken-Iti Sato The Class of Distributions of Periodic Ornstein--Uhlenbeck Processes Driven by Lévy Processes . . . . . . . . . . . . . 209--235 Larry Goldstein and Gesine Reinert Distributional Transformations, Orthogonal Polynomials, and Stein Characterizations . . . . . . . . . . . 237--260
James Kuelbs and Wenbo Li A Functional LIL for Stochastic Integrals and the Lévy Area Process . . . 261--290 C. Mueller and A. Stan A Heisenberg Inequality for Stochastic Integrals . . . . . . . . . . . . . . . 291--315 Karen Ball and Jacob Sterbenz Explicit Bounds for the Return Probability of Simple Random Walks . . . 317--326 Wensheng Wang Functional Limit Theorems for the Increments of Gaussian Samples . . . . . 327--343 Tsung-Lin Cheng and Hwai-Chung Ho Asymptotic Normality for Non-linear Functionals of Non-causal Linear Processes with Summable Weights . . . . 345--358 K. B. Erickson and Ross A. Maller Drift to Infinity and the Strong Law for Subordinated Random Walks and Lévy Processes . . . . . . . . . . . . . . . 359--375 Y. Hu and D. Nualart Some Processes Associated with Fractional Bessel Processes . . . . . . 377--397 Sergey G. Bobkov Generalized Symmetric Polynomials and an Approximate de Finetti Representation 399--412 M. Capitaine and C. Donati-Martin Free Wishart Processes . . . . . . . . . 413--438 B. Bouchard A Version of the $ {\cal G} $-conditional Bipolar Theorem in $ L^0 (\mathbb {R}^d_+; \Omega, {\cal F}, \mathbb {P}) $ . . . . . . . . . . . . . 439--467 Ivan Werner Contractive Markov System with Constant Probabilities . . . . . . . . . . . . . 469--479 Céline Lacaux Fields with Exceptional Tangent Fields 481--497
Goran Peskir A Change-of-Variable Formula with Local Time on Curves . . . . . . . . . . . . . 499--535 Christopher Hammond and Steven J. Miller Distribution of Eigenvalues for the Ensemble of Real Symmetric Toeplitz Matrices . . . . . . . . . . . . . . . . 537--566 Paavo Salminen and Pierre Vallois On First Range Times of Linear Diffusions . . . . . . . . . . . . . . . 567--593 A. Coja-Oghlan and J. Micha\li\vcek Limit Theorems for Non-Commutative Random Variables . . . . . . . . . . . . 595--614 Svante Janson and Jean-François Marckert Convergence of Discrete Snakes . . . . . 615--645 Younghoon Kim and Sungchul Lee and Zhengyan Lin and Wensheng Wang The Invariance Principle for the Total Length of the Nearest-Neighbor Graph . . 649--664 Mei Zhang Functional Central Limit Theorem for the Super--Brownian Motion with Super--Brownian Immigration . . . . . . 665--685 Endre Csáki and Antönia Földes and Pál Révész Maximal Local Time of a $d$-dimensional Simple Random Walk on Subsets . . . . . 687--717
Klaus Fleischmann and Vladimir A. Vatutin Multi-scale Clustering for a Non--Markovian Spatial Branching Process 719--755 F. Götze and A. N. Tikhomirov Asymptotic Expansions in Non-central Limit Theorems for Quadratic Forms . . . 757--811 Ibrahim A. Ahmad Mixing Limit Theorems of Maximum of Absolute Sums and their Convergence Rates . . . . . . . . . . . . . . . . . 813--826 K. Farahmand and Jay Jahangiri Algebraic Polynomials with Non-identical Random Coefficients . . . . . . . . . . 827--835 J. K. Misiewicz and G. Mazurkiewicz On $ (c, p)$-pseudostable Random Variables . . . . . . . . . . . . . . . 837--852 M. David The Asymptotic Distribution of Self-Normalized Triangular Arrays . . . 853--870 Christian Berg On Powers of Stieltjes Moment Sequences, I . . . . . . . . . . . . . . . . . . . 871--889 John Robinson and Qiying Wang On the Self-Normalized Cramér-type Large Deviation . . . . . . . . . . . . . . . 891--909 Clyde H. Schoolfield, Jr. Generating a Random Signed Permutation with Random Reversals . . . . . . . . . 911--931 Deli Li and Aurel Spataru Refinement of Convergence Rates for Tail Probabilities . . . . . . . . . . . . . 933--947 Paul Jung The Critical Value of the Contact Process with Added and Removed Edges . . 949--955 Hari Bercovici Series of Free Random Variables . . . . 957--965 Murali Rao More on a New Concept of Entropy and Information . . . . . . . . . . . . . . 967--981 E. Cureg and A. Mukherjea Weak Convergence in Circulant Matrices 983--1007
I. G. Grama and E. Haeusler An Asymptotic Expansion for Probabilities of Moderate Deviations for Multivariate Martingales . . . . . . . . 1--44 Etienne Tanré and Pierre Vallois Range of Brownian Motion with Drift . . 45--69 Han-Ying Liang and Josef G. Steinebach Self-Normalized LIL for Hanson--Russo Type Increments . . . . . . . . . . . . 70--88 K. Bogdan and T. Zak On Kelvin Transformation . . . . . . . . 89--120 Maria Jolis On a Multiple Stratonovich-type Integral for Some Gaussian Processes . . . . . . 121--133 Philippe Carmona and Francesco Guerra and Yueyun Hu and Olivier Mejane Strong Disorder for a Certain Class of Directed Polymers in a Random Environment . . . . . . . . . . . . . . 134--151 Jòrund Gåsemyr The Spectrum of the Independent Metropolis--Hastings Algorithm . . . . . 152--165 Jürgen Dippon and Harro Walk The Averaged Robbins--Monro Method for Linear Problems in a Banach Space . . . 166--189 Mika Hujo Is the Approximation Rate for European Pay-offs in the Black--Scholes Model Always $ 1 / \sqrt {n} $ . . . . . . . . 190--203 Kyle Siegrist Decomposition of Exponential Distributions on Positive Semigroups . . 204--220 Hiroshi Kaneko and Xuelei Zhao Transition Semi-groups on a Local Field Induced by Galois Group and their Representation . . . . . . . . . . . . . 221--234 Romeo Maciuca and Song-Chun Zhu First Hitting Time Analysis of the Independence Metropolis Sampler . . . . 235--261
Anatoliy Malyarenko Functional Limit Theorems for Multiparameter Fractional Brownian Motion . . . . . . . . . . . . . . . . . 263--288 Sergey G. Bobkov and Prasad Tetali Modified Logarithmic Sobolev Inequalities in Discrete Settings . . . 289--336 Erick Herbin and Ely Merzbach A Set-indexed Fractional Brownian Motion 337--364 M. J. Appel and R. P. Russo Limiting Distributions for the Maximum of a Symmetric Function on a Random Point Set . . . . . . . . . . . . . . . 365--375 Nadine Guillotin-Plantard and René Schott Dynamic Random Walks on Heisenberg Groups . . . . . . . . . . . . . . . . . 377--395 Diane Saada and Dean Slonowsky A Notion of Stopping Line for Set-Indexed Processes . . . . . . . . . 397--410 Ole E. Barndorff-Nielsen and Makoto Maejima and Ken-iti Sato Infinite Divisibility for Stochastic Processes and Time Change . . . . . . . 411--446 Makoto Maejima and Riddhi Shah Moments and Projections of Semistable Probability Measures on $p$-adic Vector Spaces . . . . . . . . . . . . . . . . . 447--459 Tommi Sottinen and Ciprian A. Tudor On the Equivalence of Multiparameter Gaussian Processes . . . . . . . . . . . 461--485 Renming Song Estimates on the Transition Densities of Girsanov Transforms of Symmetric Stable Processes . . . . . . . . . . . . . . . 487--507 Henri Heinich The Monge Problem in Banach Spaces . . . 509--534
Fuchang Gao and Wenbo V. Li Logarithmic Level Comparison for Small Deviation Probabilities . . . . . . . . 535--556 Klaus Fleischmann and Achim Klenke and Jie Xiong Pathwise Convergence of a Rescaled Super--Brownian Catalyst Reactant Process . . . . . . . . . . . . . . . . 557--588 G. Jay. Kerns and Gábor J. Székely Definetti's Theorem for Abstract Finite Exchangeable Sequences . . . . . . . . . 589--608 A. D. Barbour and Torgny Lindvall Translated Poisson Approximation for Markov Chains . . . . . . . . . . . . . 609--630 András Telcs Sub-Gaussian Short Time Asymptotics for Measure Metric Dirichlet Spaces . . . . 631--645 Florence Merlev\`ede and Magda Peligrad On the Weak Invariance Principle for Stationary Sequences under Projective Criteria . . . . . . . . . . . . . . . . 647--689 Stanislav Volkov Phase Transition in Vertex-Reinforced Random Walks on $ {\mathbb {Z}} $ with Non-linear Reinforcement . . . . . . . . 691--700 Youssef Randjiou A Joint Integral Test for the Locations of Extrema for Brownian Motion . . . . . 701--720 Xia Chen Moderate and Small Deviations for the Ranges of One-Dimensional Random Walks 721--739 Gopal K. Basak and Amites Dasgupta Central and Functional Central Limit Theorems for a Class of Urn Models . . . 741--756
Aimé Lachal Some Explicit Distributions Related to the First Exit Time from a Bounded Interval for Certain Functionals of Brownian Motion . . . . . . . . . . . . 757--771 Sami Mustapha Gaussian Estimates for Random Walks on Some Unimodular $p$-adic Groups . . . . 773--787 T. K. Chandra and A. Goswami Ces\`aro $ \alpha $-Integrability and Laws of Large Numbers --- II . . . . . . 789--816 Renming Song and Zoran Vondracek Potential Theory of Special Subordinators and Subordinate Killed Stable Processes . . . . . . . . . . . . 817--847 Leonid Bogachev Limit Laws for Norms of IID Samples with Weibull Tails . . . . . . . . . . . . . 849--873 Pedro Terán and Ilya Molchanov The Law of Large Numbers in a Metric Space with a Convex Combination Operation . . . . . . . . . . . . . . . 875--898 Jaya Casukhela and Kameswarrao S. Casukhela and Hussain Elalaoui-Talibi A New Approach to Poisson Approximation of Simple Point Processes Using Compensators . . . . . . . . . . . . . . 899--909 David M. Mason Cluster Sets of Self-Normalized Sums . . 911--930 Ashkan Nikeghbali Multiplicative Decompositions and Frequency of Vanishing of Nonnegative Submartingales . . . . . . . . . . . . . 931--949
Fuchang Gao and Wenbo V. Li Logarithmic Level Comparison for Small Deviation Probabilities . . . . . . . . 1--23 Thomas S. Mountford Level Sets of Multiparameter Stable Processes . . . . . . . . . . . . . . . 25--46 R. A. Doney and R. A. Maller Almost Sure Relative Stability of the Overshoot of Power Law Boundaries . . . 47--63 Michele Baldini On The Invariant Measure of a Positive Recurrent Diffusion in $ {\mathbb {R}} $ 65--86 Balram S. Rajput and Kavi Rama-Murthy Uniform Comparison of Tails of (Non-Symmetric) Probability Measures and Their Symmetrized Counterparts with Applications . . . . . . . . . . . . . . 87--105 A. Abrams and H. Landau and Z. Landau and J. Pommersheim and E. Zaslow Random Multiplication Approaches Uniform Measure in Finite Groups . . . . . . . . 107--118
Sanatan Rai The Spectrum of a Random Geometric Graph is Concentrated . . . . . . . . . . . . 119--132 Maria Jolis and No\`elia Viles Continuity in Law with Respect to the Hurst Parameter of the Local Time of the Fractional Brownian Motion . . . . . . . 133--152 Arvind Singh A Slow Transient Diffusion in a Drifted Stable Potential . . . . . . . . . . . . 153--166 Yongqiang Tang A Hoeffding-Type Inequality for Ergodic Time Series . . . . . . . . . . . . . . 167--176 Richard Nickl and Benedikt M. Pötscher Bracketing Metric Entropy Rates and Empirical Central Limit Theorems for Function Classes of Besov- and Sobolev-Type . . . . . . . . . . . . . . 177--199 Juan Antonio Cuesta-Albertos and Ricardo Fraiman and Thomas Ransford A Sharp Form of the Cramér--Wold Theorem 201--209 Jòrgen Hoffmann-Jòrgensen and Abram M. Kagan and Loren D. Pitt and Lawrence A. Shepp Strong Decomposition of Random Variables 211--220 José Antonio Adell and Alberto Lekuona Berry--Esséen Bounds for Standardized Subordinators via Moduli of Smoothness 221--235 Nariankadu D. Shyamalkumar and Ralph P. Russo and Ramon Lawrence Optimal Policies to Obtain the Most Join Results . . . . . . . . . . . . . . . . 237--256 George Stacey Staples Graph-Theoretic Approach to Stochastic Integrals with Clifford Algebras . . . . 257--274 Larry Goldstein and Yosef Rinott Functional BKR Inequalities, and their Duals, with Applications . . . . . . . . 275--293 Konstancja Bobecka and Jacek Wesolowski The Dirichlet Distribution and Process through Neutralities . . . . . . . . . . 295--308 Mark Conger and D. Viswanath Normal Approximations for Descents and Inversions of Permutations of Multisets 309--325 Michele Baldini On the Lyapunov Exponent of a Multidimensional Stochastic Flow . . . . 327--337 István Fazekas and Alexey Chuprunov An Almost Sure Functional Limit Theorem for the Domain of Geometric Partial Attraction of Semistable Laws . . . . . 339--353 Romain Abraham and Jean-François Delmas Feller Property and Infinitesimal Generator of the Exploration Process . . 355--370 Alessio Sancetta Weak Convergence of Laws on $ R^K $ with Common Marginals . . . . . . . . . . . . 371--380 Vladislav Kargin Berry--Esséen for Free Random Variables 381--395
Joshua Rushton A Functional LIL for $d$-Dimensional Stable Processes; Invariance for Lévy- and Other Weakly Convergent Processes 397--427 Oliver Schirokauer and Joseph B. Kadane Uniform Distributions on the Natural Numbers . . . . . . . . . . . . . . . . 429--441 Raúl Gouet and F. Javier López and Gerardo Sanz A Characteristic Martingale Related to the Counting Process of Records . . . . 443--455 Evarist Giné and David M. Mason Laws of the Iterated Logarithm for the Local $U$-Statistic Process . . . . . . 457--485 Wojciech Jaworski Dissipation of Convolution Powers in a Metric Group . . . . . . . . . . . . . . 487--503 M. Capitaine and M. Casalis Cumulants for Random Matrices as Convolutions on the Symmetric Group, II 505--533 Victor Pérez-Abreu and Jan Rosi\'nski Representation of Infinitely Divisible Distributions on Cones . . . . . . . . . 535--544 K. Musial and W. Strauss and N. D. Macheras Fubini Type Products for Densities and Liftings . . . . . . . . . . . . . . . . 545--560 Servet Martínez and Daniel Remenik and Jaime San Martín Level-wise Approximation of a Markov Process Associated to the Boundary of an Infinite Tree . . . . . . . . . . . . . 561--579 Serguei Foss and Takis Konstantopoulos and Stan Zachary Discrete and Continuous Time Modulated Random Walks with Heavy-Tailed Increments . . . . . . . . . . . . . . . 581--612 Siegfried Hörmann Critical Behavior in Almost Sure Central Limit Theory . . . . . . . . . . . . . . 613--636 Adam Massey and Steven J. Miller and John Sinsheimer Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices . . . . . . . . . 637--662 Enrique Miranda and Gert de Cooman and Erik Quaeghebeur The Hausdorff Moment Problem under Finite Additivity . . . . . . . . . . . 663--693 Eric S. Key On the Number of Records in an iid Discrete Sequence . . . . . . . . . . . 695--696
Elizabeth S. Meckes and Mark W. Meckes The Central Limit Problem for Random Vectors with Symmetries . . . . . . . . 697--720 Bénédicte Haas Fragmentation Processes with an Initial Mass Converging to Infinity . . . . . . 721--758 David Nualart and Salvador Ortiz-Latorre Intersection Local Time for Two Independent Fractional Brownian Motions 759--767 E. Orsingher and A. De Gregorio Random Flights in Higher Spaces . . . . 769--806 Wenming Hong and Ofer Zeitouni A Quenched CLT for Super--Brownian Motion with Random Immigration . . . . . 807--820 Yooyoung Koo and Sungchul Lee Rates of Convergence of Means of Euclidean Functionals . . . . . . . . . 821--841 Frank Aurzada On the Lower Tail Probabilities of Some Random Sequences in $ l_p $ . . . . . . 843--858 V. P. Kurenok Stochastic Equations with Time-Dependent Drift Driven by Levy Processes . . . . . 859--869 Andreas Neuenkirch and Ivan Nourdin Exact Rate of Convergence of Some Approximation Schemes Associated to SDEs Driven by a Fractional Brownian Motion 871--899 Uwe Einmahl A Generalization of Strassen's Functional LIL . . . . . . . . . . . . . 901--915 Witold Bednorz Hölder Continuity of Random Processes . . 917--934 Kazumasa Kuwada On Uniqueness of Maximal Coupling for Diffusion Processes with a Reflection 935--957 Tamer Oraby The Limiting Spectra of Girko's Block-Matrix . . . . . . . . . . . . . . 959--970 Jérôme Dedecker and Florence Merlev\`ede and Dalibor Volný On the Weak Invariance Principle for Non-Adapted Sequences under Projective Criteria . . . . . . . . . . . . . . . . 971--1004 Mingyu Xu Reflected Backward SDEs with Two Barriers Under Monotonicity and General Increasing Conditions . . . . . . . . . 1005--1039 Endre Csáki and Antónia Földes and Pál Révész On the Behavior of Random Walk Around Heavy Points . . . . . . . . . . . . . . 1041--1057 Roland Zweimüller Mixing Limit Theorems for Ergodic Transformations . . . . . . . . . . . . 1059--1071 T. Kadankova and N. Veraverbeke On Several Two-Boundary Problems for a Particular Class of Lévy Processes . . . 1073--1085 Brice Franke A Functional Non--Central Limit Theorem for Jump-Diffusions with Periodic Coefficients Driven by Stable Lévy-Noise 1087--1100 Fuchang Gao and Wenbo V. Li Logarithmic Level Comparison for Small Deviation Probabilities . . . . . . . . 1101--1101
Micha\l Morayne and Krzysztof Tabisz Filtrations for which All $ H^2 $ Martingales Are of Integrable Variation; Distances between $ \sigma $-Algebras 1--13 Takahiro Aoyama and Makoto Maejima and Jan Rosi\'nski A Subclass of Type $G$ Selfdecomposable Distributions on $ R^d$ . . . . . . . . 14--34 Irina Ignatiouk-Robert Martin Boundary of a Killed Random Walk on a Half-Space . . . . . . . . . . . . 35--68 Antoine Ayache and Werner Linde Approximation of Gaussian Random Fields: General Results and Optimal Wavelet Representation of the Lévy Fractional Motion . . . . . . . . . . . . . . . . . 69--96 Arno Berger and Theodore P. Hill and Kent E. Morrison Scale-Distortion Inequalities for Mantissas of Finite Data Sets . . . . . 97--117 N. Demni Free Jacobi Process . . . . . . . . . . 118--143 Stephan Lawi Towards a Characterization of Markov Processes Enjoying the Time-Inversion Property . . . . . . . . . . . . . . . . 144--168 Kyeong-Hun Kim $ L_p $-Theory of Parabolic SPDEs Degenerating on the Boundary of $ C^1 $ Domains . . . . . . . . . . . . . . . . 169--192 Jason Fulman Convergence Rates of Random Walk on Irreducible Representations of Finite Groups . . . . . . . . . . . . . . . . . 193--211 Parthanil Roy and Gennady Samorodnitsky Stationary Symmetric $ \alpha $-Stable Discrete Parameter Random Fields . . . . 212--233 Dmitry Korshunov The Key Renewal Theorem for a Transient Markov Chain . . . . . . . . . . . . . . 234--245 Patrick J. Fitzsimmons and Kouji Yano Time Change Approach to Generalized Excursion Measures, and Its Application to Limit Theorems . . . . . . . . . . . 246--265
Tsung-Lin Cheng and Hwai-Chung Ho and Xuewen Lu A Note on Asymptotic Normality of Kernel Estimation for Linear Random Fields on $ Z^2 $ . . . . . . . . . . . . . . . . . 267--286 Panki Kim and Renming Song Boundary Behavior of Harmonic Functions for Truncated Stable Processes . . . . . 287--321 Z. Dong On the Uniqueness of Invariant Measure of the Burgers Equation Driven by Lévy Processes . . . . . . . . . . . . . . . 322--335 Masayoshi Takeda Large Deviations for Additive Functionals of Symmetric Stable Processes . . . . . . . . . . . . . . . 336--355 Vladimir N. Kulikov and Hendrik P. Lopuhaä Distribution of Global Measures of Deviation Between the Empirical Distribution Function and Its Concave Majorant . . . . . . . . . . . . . . . . 356--377 Jason Schweinsberg Loop-Erased Random Walk on Finite Graphs and the Rayleigh Process . . . . . . . . 378--396 José Trashorras Large Deviations for Symmetrised Empirical Measures . . . . . . . . . . . 397--412 José A. Ramírez and Brian Rider Shape of the Ground State Energy Density of Hill's Equation with Nice Gaussian Potential . . . . . . . . . . . . . . . 413--430 Tae-Sung Kim and Mi-Hwa Ko On the Complete Convergence of Moving Average Process with Banach Space Valued Random Elements . . . . . . . . . . . . 431--436 Yevgeniy Kovchegov Multi-Particle Processes with Reinforcements . . . . . . . . . . . . . 437--448 Siddhartha Sahi The FKG Inequality for Partially Ordered Algebras . . . . . . . . . . . . . . . . 449--458 Anatoliy Malyarenko An Optimal Series Expansion of the Multiparameter Fractional Brownian Motion . . . . . . . . . . . . . . . . . 459--475 Jorge Garcia A Large Deviation Principle for Stochastic Integrals . . . . . . . . . . 476--501 Litan Yan and Yu Sun and Yunsheng Lu On the Linear Fractional Self-attracting Diffusion . . . . . . . . . . . . . . . 502--516
Patrizia Berti and Pietro Rigo A Conditional $0$--$1$ Law for the Symmetric $ \sigma $-field . . . . . . . 517--526 Giovanni Peccati and Murad S. Taqqu Stable Convergence of Multiple Wiener--Itô Integrals . . . . . . . . . . 527--570 Gaku Sadasue On Quasi-invariance of Infinite Product Measures . . . . . . . . . . . . . . . . 571--585 Gianluca Cassese Finitely Additive Supermartingales . . . 586--603 Liuer Ye and Xianping Guo and Onésimo Hernández-Lerma Existence and Regularity of a Nonhomogeneous Transition Matrix under Measurability Conditions . . . . . . . . 604--627 A. A. Borovkov and P. S. Ruzankin On Small Deviations of Series of Weighted Random Variables . . . . . . . 628--649 David Márquez-Carreras and Carles Rovira Iterated Logarithm Law for Anticipating Stochastic Differential Equations . . . 650--659 Ferenc Móricz and Ulrich Stadtmüller and Monika Thalmaier Strong Laws for Blockwise $m$-Dependent Random Fields . . . . . . . . . . . . . 660--671 Miklós Csörg\Ho and Rafal Kulik Weak Convergence of Vervaat and Vervaat Error Processes of Long-Range Dependent Sequences . . . . . . . . . . . . . . . 672--686 L. Ouchti and D. Volný A Conditional CLT which Fails for Ergodic Components . . . . . . . . . . . 687--703 Rados\law Adamczak and Rafa\l Lata\la The LIL for $U$-Statistics in Hilbert Spaces . . . . . . . . . . . . . . . . . 704--744 Pierre Debs and Mihai Gradinaru Penalization for Birth and Death Processes . . . . . . . . . . . . . . . 745--771
A. Hassairi and S. Lajmi and R. Zine A Characterization of the Riesz Probability Distribution . . . . . . . . 773--790 Daniel Neuenschwander Uniqueness of Embedding into a Gaussian Semigroup and a Poisson Semigroup with Determinate Jump Law on a Simply Connected Nilpotent Lie Group . . . . . 791--801 Martin Hildebrand and Joseph McCollum Generating Random Vectors in $ (Z \slash p Z)^d $ via an Affine Random Process 802--811 Andrzej Komisarski Distances Between $ \sigma $-Fields on a Probability Space . . . . . . . . . . . 812--823 Richard B. Sowers Random Perturbations of Canards . . . . 824--889 Bing-Yi Jing and Han-Ying Liang Strong Limit Theorems for Weighted Sums of Negatively Associated Random Variables . . . . . . . . . . . . . . . 890--909 Takashi Kumagai and Jun Misumi Heat Kernel Estimates for Strongly Recurrent Random Walk on Random Media 910--935 Zenghu Li and Chunhua Ma Catalytic Discrete State Branching Models and Related Limit Theorems . . . 936--965 H. Hennion and L. Hervé Stable Laws and Products of Positive Random Matrices . . . . . . . . . . . . 966--981 Jim Kuelbs and Joel Zinn Another View of the CLT in Banach Spaces 982--1029
Harri Nyrhinen On Large Deviations of Multivariate Heavy-Tailed Random Walks . . . . . . . 1--17 Miguel Abadi and Nicolas Vergne Sharp Error Terms for Return Time Statistics under Mixing Conditions . . . 18--37 Richard Nickl On Convergence and Convolutions of Random Signed Measures . . . . . . . . . 38--56 Yasuki Isozaki Fluctuation Identities Applied to the Hitting Time of a Half-line in the Plane 57--81 Youri Davydov and Vladimir Rotar On Asymptotic Proximity of Distributions 82--98 Youri Davydov and Vladimir Rotar On Asymptotic Proximity of Distributions 99--99 Endre Csáki and Antónia Földes and Pál Révész Transient Nearest Neighbor Random Walk on the Line . . . . . . . . . . . . . . 100--122 Aurel I. Stan and John J. Whitaker A Study of Probability Measures Through Commutators . . . . . . . . . . . . . . 123--145 Emmanuel Rio Moment Inequalities for Sums of Dependent Random Variables under Projective Conditions . . . . . . . . . 146--163 Ming Liao A Decomposition of Markov Processes via Group Actions . . . . . . . . . . . . . 164--185 Peter Harremoës and Klaus Kähler Holst Convergence of Markov Chains in Information Divergence . . . . . . . . . 186--202 Tamás Szabados and Balázs Székely Stochastic Integration Based on Simple, Symmetric Random Walks . . . . . . . . . 203--219 Kyeong-Hun Kim An $ L_p $-theory of Stochastic PDEs of Divergence Form on Lipschitz Domains . . 220--238 Zbigniew S. Szewczak On Limit Theorems for Continued Fractions . . . . . . . . . . . . . . . 239--255 Emanuel Milman On Gaussian Marginals of Uniformly Convex Bodies . . . . . . . . . . . . . 256--278 A. D. Barbour and Torgny Lindvall Translated Poisson Approximation for Markov Chains . . . . . . . . . . . . . 279--280
Yuebao Wang and Kaiyong Wang Equivalent Conditions of Asymptotics for the Density of the Supremum of a Random Walk in the Intermediate Case . . . . . 281--293 Aihua Xia and Fuxi Zhang Polynomial Birth--Death Distribution Approximation in the Wasserstein Distance . . . . . . . . . . . . . . . . 294--310 Claude Dellacherie and Servet Martinez and Jaime San Martin Ultrametric and Tree Potential . . . . . 311--347 Rasul A. Khan $ L_p $-Version of the Dubins--Savage Inequality and Some Exponential Inequalities . . . . . . . . . . . . . . 348--364 Mathias Becker and Wolfgang König Moments and Distribution of the Local Times of a Transient Random Walk on $ Z^d $ . . . . . . . . . . . . . . . . . 365--374 K. J. Falconer and J. Lévy Véhel Multifractional, Multistable, and Other Processes with Prescribed Local Form . . 375--401 Johan H. Tykesson Continuum Percolation at and above the Uniqueness Threshold on Homogeneous Spaces . . . . . . . . . . . . . . . . . 402--417 Jan Oblój and Martijn Pistorius On an Explicit Skorokhod Embedding for Spectrally Negative Lévy Processes . . . 418--440 Horst Osswald A Smooth Approach to Malliavin Calculus for Lévy Processes . . . . . . . . . . . 441--473 Horst Osswald On Anticipative Girsanov Transformations for Lévy Processes . . . . . . . . . . . 474--481 W. Jarczyk and J. K. Misiewicz On Weak Generalized Stability and $ (c, d)$-Pseudostable Random Variables via Functional Equations . . . . . . . . . . 482--505 Mi-Hwa Ko and Tae-Sung Kim and Kwang-Hee Han A Note on the Almost Sure Convergence for Dependent Random Variables in a Hilbert Space . . . . . . . . . . . . . 506--513 J. C. Pardo The Upper Envelope of Positive Self-Similar Markov Processes . . . . . 514--542
James Allen Fill The Passage Time Distribution for a Birth-and-Death Chain: Strong Stationary Duality Gives a First Stochastic Proof 543--557 Persi Diaconis and Laurent Miclo On Times to Quasi-stationarity for Birth and Death Processes . . . . . . . . . . 558--586 James Allen Fill On Hitting Times and Fastest Strong Stationary Times for Skip-Free and More General Chains . . . . . . . . . . . . . 587--600 Mohamed El Otmani Reflected BSDE Driven by a Lévy Process 601--619 Peter Baxendale and Georgi Dimitroff Uniform Shrinking and Expansion under Isotropic Brownian Flows . . . . . . . . 620--639 Alexander I. Nazarov Exact $ L_2 $-Small Ball Asymptotics of Gaussian Processes and the Spectrum of Boundary-Value Problems . . . . . . . . 640--665 Gerold Alsmeyer and Alex Iksanov and Uwe Rösler On Distributional Properties of Perpetuities . . . . . . . . . . . . . . 666--682 Jan Boman and Filip Lindskog Support Theorems for the Radon Transform and Cramér--Wold Theorems . . . . . . . . 683--710 Jan M. Swart The Contact Process Seen from a Typical Infected Site . . . . . . . . . . . . . 711--740 Michael Voit Bessel Convolutions on Matrix Cones: Algebraic Properties and Random Walks 741--771 Péter Kevei and Sándor Csörg\Ho Merging of Linear Combinations to Semistable Laws . . . . . . . . . . . . 772--790 Claudio Asci Generating Uniform Random Vectors in $ Z_p^k $: The General Case . . . . . . . 791--809
Andreas Basse Spectral Representation of Gaussian Semimartingales . . . . . . . . . . . . 811--826 Liqing Yan Comparison Inequalities for One Sided Normal Probabilities . . . . . . . . . . 827--836 Adam Osekowski Strong Differential Subordination and Sharp Inequalities for Orthogonal Processes . . . . . . . . . . . . . . . 837--855 José Manuel Corcuera and David Nualart and Jeannette H. C. Woerner Convergence of Certain Functionals of Integral Fractional Processes . . . . . 856--870 Jaap Geluk and Qihe Tang Asymptotic Tail Probabilities of Sums of Dependent Subexponential Random Variables . . . . . . . . . . . . . . . 871--882 Ely Merzbach and Arthur Yosef Set-indexed Brownian Motion on Increasing Paths . . . . . . . . . . . . 883--890 Ivan del Tenno Cut Points and Diffusions in Random Environment . . . . . . . . . . . . . . 891--933 Raby Guerbaz On Moduli of Continuity for Local Times of Fractional Stable Processes . . . . . 934--954 Raluca M. Balan and Sana Louhichi Convergence of Point Processes with Weakly Dependent Points . . . . . . . . 955--982 Liming Wu A $ \Phi $-Entropy Contraction Inequality for Gaussian Vectors . . . . 983--991 Endre Csáki and Antónia Földes and Pál Révész Transient Nearest Neighbor Random Walk and Bessel Process . . . . . . . . . . . 992--1009 Erick Herbin and Ely Merzbach Stationarity and Self-Similarity Characterization of the Set-Indexed Fractional Brownian Motion . . . . . . . 1010--1029 Helga Schack An Optimal Wavelet Series Expansion of the Riemann--Liouville Process . . . . . 1030--1057 Daniel Neuenschwander Erratum to: Uniqueness of Embedding into a Gaussian Semigroup and a Poisson Semigroup with Determinate Jump Law on a Simply Connected Nilpotent Lie Group . . 1058--1060
Han Xiao and Wang Zhou Almost Sure Limit of the Smallest Eigenvalue of Some Sample Correlation Matrices . . . . . . . . . . . . . . . . 1--20 Jean-Christophe Breton Regularity of the Laws of Shot Noise Series and of Related Processes . . . . 21--38 Ivan Nourdin and David Nualart Central Limit Theorems for Multiple Skorokhod Integrals . . . . . . . . . . 39--64 L. Alili and P. Patie Boundary-Crossing Identities for Diffusions Having the Time-Inversion Property . . . . . . . . . . . . . . . . 65--84 Rados\law Adamczak A Few Remarks on the Operator Norm of Random Toeplitz Matrices . . . . . . . . 85--108 István Berkes and Siegfried Hörmann and Lajos Horváth On Functional Versions of the Arc-Sine Law . . . . . . . . . . . . . . . . . . 109--126 Pawel Sztonyk Estimates of Tempered Stable Densities 127--147 Daehong Kim and Yoichi Oshima Some Inequalities Related to Transience and Recurrence of Markov Processes and Their Applications . . . . . . . . . . . 148--168 Guodong Xing and Shanchao Yang Some Exponential Inequalities for Positively Associated Random Variables and Rates of Convergence of the Strong Law of Large Numbers . . . . . . . . . . 169--192 Enkelejd Hashorva Boundary Non-crossings of Brownian Pillow . . . . . . . . . . . . . . . . . 193--208 Mladen Savov Small Time One-Sided LIL Behavior for Lévy Processes at Zero . . . . . . . . . 209--236 Lukasz Debowski Variable-Length Coding of Two-sided Asymptotically Mean Stationary Measures 237--256 Sreekar Vadlamani Fractional Brownian Flows . . . . . . . 257--276 Florence Merlev\`ede and Magda Peligrad Moderate Deviations for Linear Processes Generated by Martingale-Like Random Variables . . . . . . . . . . . . . . . 277--300 Thilo Meyer-Brandis and Frank Proske Explicit Representation of Strong Solutions of SDEs Driven by Infinite-Dimensional Lévy Processes . . . 301--314 Barbara H. Jasiulis Limit Property for Regular and Weak Generalized Convolution . . . . . . . . 315--327 Lijun Bo and Kehua Shi and Yongjin Wang On a Stochastic Wave Equation Driven by a Non--Gaussian Lévy Process . . . . . . 328--343
Stéphane Attal and Ameur Dhahri Repeated Quantum Interactions and Unitary Random Walks . . . . . . . . . . 345--361 Jong-Il Baek and Sung-Tae Park [RETRACTED ARTICLE]: Convergence of Weighted Sums for Arrays of Negatively Dependent Random Variables and Its Applications . . . . . . . . . . . . . . 362--377 Holger Dette and Bettina Reuther Random Block Matrices and Matrix Orthogonal Polynomials . . . . . . . . . 378--400 Li Wang An Almost Sure Limit Theorem for Super--Brownian Motion . . . . . . . . . 401--416 Aurel Spataru The Law of the Iterated Logarithm for Finitely Inhomogeneous Random Walks . . 417--427 István Berkes and Siegfried Hörmann and Michel Weber Upper-Lower Class Tests for Weighted i.i.d. Sequences and Martingales . . . . 428--446 Florent Benaych-Georges and Thierry Cabanal-Duvillard A Matrix Interpolation between Classical and Free Max Operations. I. The Univariate Case . . . . . . . . . . . . 447--465 Gregorio Moreno Convergence of the Law of the Environment Seen by the Particle for Directed Polymers in Random Media in the $ L^2 $ Region . . . . . . . . . . . . . 466--477 Günter Last Stationary Random Measures on Homogeneous Spaces . . . . . . . . . . . 478--497 J. M. Aldaz Concentration of the Ratio between the Geometric and Arithmetic Means . . . . . 498--508 Florian Hechner and Bernard Heinkel The Marcinkiewicz--Zygmund LLN in Banach Spaces: A Generalized Martingale Approach . . . . . . . . . . . . . . . . 509--522 Lasse Leskelä Stochastic Relations of Random Variables and Processes . . . . . . . . . . . . . 523--546 Andreas E. Kyprianou and Víctor Rivero and Renming Song Convexity and Smoothness of Scale Functions and de Finetti's Control Problem . . . . . . . . . . . . . . . . 547--564 Daniil Ryabko Discrimination Between $B$-Processes is Impossible . . . . . . . . . . . . . . . 565--575 Atsushi Takeuchi Bismut--Elworthy--Li-Type Formulae for Stochastic Differential Equations with Jumps . . . . . . . . . . . . . . . . . 576--604 Richard Kiefer and Peter Mörters The Hausdorff Dimension of the Double Points on the Brownian Frontier . . . . 605--623 Endre Csáki and Antónia Földes and Pál Révész On the Number of Cutpoints of the Transient Nearest Neighbor Random Walk on the Line . . . . . . . . . . . . . . 624--638
Florian Sobieczky An Interlacing Technique for Spectra of Random Walks and Its Application to Finite Percolation Clusters . . . . . . 639--670 Yuzuru Inahama A Stochastic Taylor-Like Expansion in the Rough Path Theory . . . . . . . . . 671--714 Allan Gut and Ulrich Stadtmüller Ces\`aro Summation for Random Fields . . 715--728 V. S. Borkar and K. Suresh Kumar A New Markov Selection Procedure for Degenerate Diffusions . . . . . . . . . 729--747 Kumi Yasuda Markov Processes on the Adeles and Representations of Euler Products . . . 748--769 Andrzej Luczak Centering Problems for Probability Measures on Finite-Dimensional Vector Spaces . . . . . . . . . . . . . . . . . 770--791 S. G. Bobkov and F. Götze and A. N. Tikhomirov On Concentration of Empirical Measures and Convergence to the Semi-circle Law 792--823 Feng-Yu Wang and Chenggui Yuan Poincaré Inequality on the Path Space of Poisson Point Processes . . . . . . . . 824--833 Raluca M. Balan and Ciprian A. Tudor Stochastic Heat Equation with Multiplicative Fractional-Colored Noise 834--870 Michael Björklund Central Limit Theorems for Gromov Hyperbolic Groups . . . . . . . . . . . 871--887 Dalibor Volný Martingale Approximation and Optimality of Some Conditions for the Central Limit Theorem . . . . . . . . . . . . . . . . 888--903 Saidbek S. Mirakhmedov and Sherzod M. Mirakhmedov On Asymptotic Expansion in the Random Allocation of Particles by Sets . . . . 904--919 Sarah Bailey Frick and Karl Petersen Reinforced Random Walks and Adic Transformations . . . . . . . . . . . . 920--943
Djalil Chafa\"\i Circular Law for Noncentral Random Matrices . . . . . . . . . . . . . . . . 945--950 Qikang Ran and Tusheng Zhang Existence and Uniqueness of Bounded Weak Solutions of a Semilinear Parabolic PDE 951--971 Dongsheng Wu and Yimin Xiao Regularity of Intersection Local Times of Fractional Brownian Motions . . . . . 972--1001 Nina Gantert and Sebastian Müller and Serguei Popov and Marina Vachkovskaia Survival of Branching Random Walks in Random Environment . . . . . . . . . . . 1002--1014 F. Gamboa and A. Rouault Canonical Moments and Random Spectral Measures . . . . . . . . . . . . . . . . 1015--1038 Toshiro Watanabe and Kouji Yamamuro Local Subexponentiality and Self-decomposability . . . . . . . . . . 1039--1067 Michael J. Klass and Krzysztof Nowicki Uniformly Accurate Quantile Bounds for Sums of Arbitrary Independent Random Variables . . . . . . . . . . . . . . . 1068--1091 Philip S. Griffin Pruitt's Estimates in Banach Space . . . 1092--1109 Hermine Biermé and Anne Estrade and Ingemar Kaj Self-similar Random Fields and Rescaled Random Balls Models . . . . . . . . . . 1110--1141 Jiagang Ren and Siyan Xu and Xicheng Zhang Large Deviations for Multivalued Stochastic Differential Equations . . . 1142--1156 Hirotaka Fushiya Weak Convergence Theorem of a Nonnegative Random Walk to Sticky Reflected Brownian Motion . . . . . . . 1157--1181 Jamison Wolf Random Fractals Determined by Lévy Processes . . . . . . . . . . . . . . . 1182--1203 Serge Cohen and Mario Wschebor On Tightness and Weak Convergence in the Approximation of the Occupation Measure of Fractional Brownian Motion . . . . . 1204--1226 Tiefeng Jiang The Entries of Haar-Invariant Matrices from the Classical Compact Groups . . . 1227--1243
Alexey M. Kulik Absolute Continuity and Convergence in Variation for Distributions of Functionals of Poisson Point Measure . . 1--38 Aurel I. Stan Two-dimensional Meixner Random Vectors of Class $ {\mathcal {M}}_L $ . . . . . 39--65 Klaus Fleischmann and Leonid Mytnik and Vitali Wachtel Hölder Index at a Given Point for Density States of Super-$ \alpha $-Stable Motion of Index $ 1 + \beta $ . . . . . . . . . 66--92 Stefan Ankirchner and Jakub Zwierz Initial Enlargement of Filtrations and Entropy of Poisson Compensators . . . . 93--117 Lorenz A. Gilch and Sebastian Müller Random Walks on Directed Covers of Graphs . . . . . . . . . . . . . . . . . 118--149 Shai Covo Two-Parameter Lévy Processes Along Decreasing Paths . . . . . . . . . . . . 150--169 Rong-Li Liu and Yan-Xia Ren and Renming Song $ L \log L $ Condition for Supercritical Branching Hunt Processes . . . . . . . . 170--193 Gabriel Faraud Estimates on the Speedup and Slowdown for a Diffusion in a Drifted Brownian Potential . . . . . . . . . . . . . . . 194--239 Gyula Pap The Accuracy of Merging Approximation in Generalized St. Petersburg Games . . . . 240--270 D. Baraka and T. S. Mountford The Exact Hausdorff Measure of the Zero Set of Fractional Brownian Motion . . . 271--293 Mei Zhang Central Limit Theorems for a Super-Diffusion over a Stochastic Flow 294--306
Qiying Wang Refined Self-normalized Large Deviations for Independent Random Variables . . . . 307--329 Philippe Biane and Gérard Letac The Mean Perimeter of Some Random Plane Convex Sets Generated by a Brownian Motion . . . . . . . . . . . . . . . . . 330--341 Mirko D'Ovidio and Enzo Orsingher Composition of Processes and Related Partial Differential Equations . . . . . 342--375 James Kuelbs and Anand N. Vidyashankar Weak Convergence Results for Multiple Generations of a Branching Process . . . 376--396 Joseph McCollum Random Walks on Dihedral Groups . . . . 397--408 Iosif Pinelis Positive-Part Moments via the Fourier--Laplace Transform . . . . . . . 409--421 Allan Gut and Ulrich Stadtmüller On the LSL for Random Fields . . . . . . 422--449 Ben Salah Nahla and Masmoudi Afif The Real Powers of the Convolution of a Gamma Distribution and a Bernoulli Distribution . . . . . . . . . . . . . . 450--453 Valentin Konakov and Stéphane Menozzi Weak Error for Stable Driven Stochastic Differential Equations: Expansion of the Densities . . . . . . . . . . . . . . . 454--478 Arup Bose and Rajat Subhra Hazra and Koushik Saha Spectral Norm of Circulant-Type Matrices 479--516 S. Dereich and C. Vormoor The High Resolution Vector Quantization Problem with Orlicz Norm Distortion . . 517--544 H. Kösters Characteristic Polynomials of Sample Covariance Matrices . . . . . . . . . . 545--576 W\lodzimierz Bryc and Abdelhamid Hassairi One-Sided Cauchy--Stieltjes Kernel Families . . . . . . . . . . . . . . . . 577--594
S. S. Gabriyelyan Absolute Continuity and Singularity of Two Probability Measures on a Filtered Space . . . . . . . . . . . . . . . . . 595--614 Tim Austin Deducing the Density Hales--Jewett Theorem from an Infinitary Removal Lemma 615--633 Pierre Andreoletti and Roland Diel Limit Law of the Local Time for Brox's Diffusion . . . . . . . . . . . . . . . 634--656 Francis Comets and Nobuo Yoshida Branching Random Walks in Space-Time Random Environment: Survival Probability, Global and Local Growth Rates . . . . . . . . . . . . . . . . . 657--687 Hui He Rescaled Lotka--Volterra Models Converge to Super-Stable Processes . . . . . . . 688--728 Min Qian and Fuxi Zhang Entropy Production Rate of the Coupled Diffusion Process . . . . . . . . . . . 729--745 B. H. Jasiulis-Goldyn and J. K. Misiewicz On the Uniqueness of the Kendall Generalized Convolution . . . . . . . . 746--755 Terence Jegaraj Small Time Asymptotics for Stochastic Evolution Equations . . . . . . . . . . 756--788 Kei Kobayashi Stochastic Calculus for a Time-Changed Semimartingale and the Associated Stochastic Differential Equations . . . 789--820 Vladislav Kargin On Free Stochastic Differential Equations . . . . . . . . . . . . . . . 821--848 Adam Osekowski Logarithmic Estimates for Submartingales and Their Differential Subordinates . . 849--874 Olav Kallenberg Iterated Palm Conditioning and Some Slivnyak-Type Theorems for Cox and Cluster Processes . . . . . . . . . . . 875--893
Henry Lam and Jose Blanchet and Damian Burch and Martin Z. Bazant Corrections to the Central Limit Theorem for Heavy-tailed Probability Densities 895--927 Yong Chen and Jianmin Chen On the Imbedding Problem for Three-State Time Homogeneous Markov Chains with Coinciding Negative Eigenvalues . . . . 928--938 Sourav Chatterjee and Soumik Pal A Combinatorial Analysis of Interacting Diffusions . . . . . . . . . . . . . . . 939--968 Florent Benaych-Georges Rectangular $R$-Transform as the Limit of Rectangular Spherical Integrals . . . 969--987 Dang-Zheng Liu and Zheng-Dong Wang Limit Distribution of Eigenvalues for Random Hankel and Toeplitz Band Matrices 988--1001 P. Del Moral and F. Patras and S. Rubenthaler Convergence of $U$-Statistics for Interacting Particle Systems . . . . . . 1002--1027 Dawei Lu and Lixin Song The First Exit Time of a Brownian Motion from the Minimum and Maximum Parabolic Domains . . . . . . . . . . . . . . . . 1028--1043 C. Emily I. Redelmeier Genus Expansion for Real Wishart Matrices . . . . . . . . . . . . . . . . 1044--1062 Yi-Ting Li and Dang-Zheng Liu and Zheng-Dong Wang Limit Distributions of Eigenvalues for Random Block Toeplitz and Hankel Matrices . . . . . . . . . . . . . . . . 1063--1086 Gady Kozma and Asaf Nachmias A Note About Critical Percolation on Finite Graphs . . . . . . . . . . . . . 1087--1096 Masayoshi Takeda A Large Deviation Principle for Symmetric Markov Processes with Feynman--Kac Functional . . . . . . . . 1097--1129 Deli Li and Yongcheng Qi and Andrew Rosalsky A Refinement of the Kolmogorov--Marcinkiewicz--Zygmund Strong Law of Large Numbers . . . . . . 1130--1156 Nadine Guillotin-Plantard On the Local Time of Random Walks Associated with Gegenbauer Polynomials 1157--1169 Rohini Kumar Current Fluctuations for Independent Random Walks in Multiple Dimensions . . 1170--1195
Glenn Shafer and Vladimir Vovk and Akimichi Takemura Lévy's Zero--One Law in Game-Theoretic Probability . . . . . . . . . . . . . . 1--24 Holger Dette and Jan Nagel Matrix Measures, Random Moments, and Gaussian Ensembles . . . . . . . . . . . 25--49 Sheng-Jun Fan and Long Jiang A Generalized Comparison Theorem for BSDEs and Its Applications . . . . . . . 50--61 Aziz Khanchi Asymptotics of Markov Additive Chains on a Half-Plane: A Ratio Limit Theorem . . 62--76 Daniel Andrés Díaz Pachón A Note on Large Deviations for the Stable Marriage of Poisson and Lebesgue with Random Appetites . . . . . . . . . 77--91 Wenbo V. Li and Ang Wei A Gaussian Inequality for Expected Absolute Products . . . . . . . . . . . 92--99 Victor Pérez-Abreu and Noriyoshi Sakuma Free Infinite Divisibility of Free Multiplicative Mixtures of the Wigner Distribution . . . . . . . . . . . . . . 100--121 Junping Li and Anyue Chen and Anthony G. Pakes Asymptotic Properties of the Markov Branching Process with Immigration . . . 122--143 Viktorya Knopova and René L. Schilling Transition Density Estimates for a Class of Lévy and Lévy-Type Processes . . . . . 144--170 Christophe Cuny and Magda Peligrad Central Limit Theorem Started at a Point for Stationary Processes and Additive Functionals of Reversible Markov Chains 171--188 Dariusz Buraczewski and Konrad Kolesko Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case 189--204 Albert Ferreiro-Castilla and Frederic Utzet Inversion of Analytic Characteristic Functions and Infinite Convolutions of Exponential and Laplace Densities . . . 205--230 Eva Löcherbach and Dasha Loukianova Deviation Inequalities for Centered Additive Functionals of Recurrent Harris Processes Having General State Space . . 231--261 Marjorie Hahn and Kei Kobayashi and Sabir Umarov SDEs Driven by a Time-Changed Lévy Process and Their Associated Time-Fractional Order Pseudo-Differential Equations . . . . . 262--279 Djamal Louani and Sidi Mohamed Ould Maouloud Some Functional Large Deviations Principles in Nonparametric Function Estimation . . . . . . . . . . . . . . . 280--309 Xinxin Jiang and Marjorie G. Hahn Erratum to: Central Limit Theorems for Exchangeable Random Variables When Limits are Scale Mixtures of Normals . . 310--311
Raphaël Lachi\`eze-Rey Concave Majorant of Stochastic Processes and Burgers Turbulence . . . . . . . . . 313--332 Elizabeth Meckes Approximation of Projections of Random Vectors . . . . . . . . . . . . . . . . 333--352 Gustavo Didier and Vladas Pipiras Exponents, Symmetry Groups and Classification of Operator Fractional Brownian Motions . . . . . . . . . . . . 353--395 Qi Zhang and Huaizhong Zhao Probabilistic Representation of Weak Solutions of Partial Differential Equations with Polynomial Growth Coefficients . . . . . . . . . . . . . . 396--423 Zakhar Kabluchko Limit Laws for Sums of Independent Random Products: the Lattice Case . . . 424--437 Hervé Queffélec and Dalibor Volný On Martingale Approximation of Adapted Processes . . . . . . . . . . . . . . . 438--449 Kôhei Uchiyama Asymptotic Estimates of the Distribution of Brownian Hitting Time of a Disc . . . 450--463 Steven Jackson and Steven J. Miller and Thuy Pham Distribution of Eigenvalues of Highly Palindromic Toeplitz Matrices . . . . . 464--495 Andrew Ledoan and Marco Merkli and Shannon Starr A Universality Property of Gaussian Analytic Functions . . . . . . . . . . . 496--504 Jean-François Le Gall and Amandine Véber Escape Probabilities for Branching Brownian Motion Among Soft Obstacles . . 505--535 Solesne Bourguin and Ciprian A. Tudor Asymptotic Theory for Fractional Regression Models via Malliavin Calculus 536--564 Kai Liu On Regularity Property of Retarded Ornstein--Uhlenbeck Processes in Hilbert Spaces . . . . . . . . . . . . . . . . . 565--593 Christian Bender and Alexander Lindner and Markus Schicks Finite Variation of Fractional Lévy Processes . . . . . . . . . . . . . . . 594--612
Shankar Bhamidi and Steven N. Evans and Arnab Sen Spectra of Large Random Trees . . . . . 613--654 Roman Vershynin How Close is the Sample Covariance Matrix to the Actual Covariance Matrix? 655--686 B. T. Graham Sublinear Variance for Directed Last-Passage Percolation . . . . . . . . 687--702 V. I. Afanasyev and C. Böinghoff and G. Kersting and V. A. Vatutin Limit Theorems for Weakly Subcritical Branching Processes in Random Environment . . . . . . . . . . . . . . 703--732 Li Ma and Wei Sun On the Generalized Feynman--Kac Transformation for Nearly Symmetric Markov Processes . . . . . . . . . . . . 733--755 Takahiro Hasebe Analytic Continuations of Fourier and Stieltjes Transforms and Generalized Moments of Probability Measures . . . . 756--770 Arup Bose and Joydip Mitra and Arnab Sen Limiting Spectral Distribution of Random $k$-Circulants . . . . . . . . . . . . . 771--797 Sho Matsumoto General Moments of the Inverse Real Wishart Distribution and Orthogonal Weingarten Functions . . . . . . . . . . 798--822 John Pardon Central Limit Theorems for Uniform Model Random Polygons . . . . . . . . . . . . 823--833 Jianxi Lin Second order Subexponential Distributions with Finite Mean and Their Applications to Subordinated Distributions . . . . . . . . . . . . . 834--853 Jorge A. León and Samy Tindel Malliavin Calculus for Fractional Delay Equations . . . . . . . . . . . . . . . 854--889 Wei Zhang and Marjorie G. Hahn Haar-Based Multiresolution Stochastic Processes . . . . . . . . . . . . . . . 890--909 Kôhei Uchiyama Erratum to: Asymptotic Estimates of the Distribution of Brownian Hitting Time of a Disc . . . . . . . . . . . . . . . . . 910--911
Fotis Loukissas Precise Large Deviations for Long-Tailed Distributions . . . . . . . . . . . . . 913--924 Konstantinos Spiliopoulos Large Deviations Principle for a Large Class of One-Dimensional Markov Processes . . . . . . . . . . . . . . . 925--949 Yu Gong and Yong-Hua Mao and Chi Zhang Hitting Time Distributions for Denumerable Birth and Death Processes 950--980 Michael J. Klass and Ming Yang Maximal Inequalities for Additive Processes . . . . . . . . . . . . . . . 981--1012 Olav Kallenberg Schoenberg's Theorem and Unitarily Invariant Random Arrays . . . . . . . . 1013--1039 Kunwoo Kim and Zhi Zheng and Richard B. Sowers A Stochastic Stefan Problem . . . . . . 1040--1080 Tamás Szabados Self-intersection Local Time of Planar Brownian Motion Based on a Strong Approximation by Random Walks . . . . . 1081--1118 Yuqiang Li and Yimin Xiao Occupation Time Fluctuations of Weakly Degenerate Branching Systems . . . . . . 1119--1152 Auguste Aman Reflected Generalized Backward Doubly SDEs Driven by Lévy Processes and Applications . . . . . . . . . . . . . . 1153--1172 Michael Anshelevich and Wojciech Mlotkowski Semigroups of Distributions with Linear Jacobi Parameters . . . . . . . . . . . 1173--1206 Giacomo Aletti and Caterina May and Piercesare Secchi A Functional Equation Whose Unknown is $ \mathcal {P}([0, 1]) $ Valued . . . . . 1207--1232
Iain M. MacPhee and Mikhail V. Menshikov and Andrew R. Wade Moments of Exit Times from Wedges for Non-homogeneous Random Walks with Asymptotically Zero Drifts . . . . . . . 1--30 Hui He and Zenghu Li and Xiaowen Zhou An Integral Test on Time-Dependent Local Extinction for Super-coalescing Brownian Motion with Lebesgue Initial Measure . . 31--45 Patrizia Berti and Luca Pratelli and Pietro Rigo Finitely Additive Equivalent Martingale Measures . . . . . . . . . . . . . . . . 46--57 Pawel Glowacki Convergence of Semigroups of Complex Measures on a Lie Group . . . . . . . . 58--71 Antoine Ayache Continuous Gaussian Multifractional Processes with Random Pointwise Hölder Regularity . . . . . . . . . . . . . . . 72--93 Celaleddin Sençimen Statistical Convergence in Probability for a Sequence of Random Functions . . . 94--106 W\lodzimierz Bryc and Gérard Letac Meixner Matrix Ensembles . . . . . . . . 107--152 Frank Aurzada and Fuchang Gao and Thomas Kühn and Wenbo V. Li and Qi-Man Shao Small Deviations for a Family of Smooth Gaussian Processes . . . . . . . . . . . 153--168 Lo\"\ic Hervé and Françoise P\`ene On the Recurrence Set of Planar Markov Random Walks . . . . . . . . . . . . . . 169--197 Achim Wübker Asymptotic Optimality of Isoperimetric Constants . . . . . . . . . . . . . . . 198--221 Magda Peligrad and Hailin Sang Central Limit Theorem for Linear Processes with Infinite Variance . . . . 222--239 Arijit Chakrabarty and Parthanil Roy Group-Theoretic Dimension of Stationary Symmetric $ \alpha $-Stable Random Fields . . . . . . . . . . . . . . . . . 240--258 Kouji Yano Random Walk in a Finite Directed Graph Subject to a Road Coloring . . . . . . . 259--283 Denis Borisov and Pedro Freitas Asymptotics for the Expected Lifetime of Brownian Motion on Thin Domains in $ R^n $ . . . . . . . . . . . . . . . . . . . 284--309
Miklós Csörg\Ho and Zhishui Hu and Hongwei Mei Strassen-Type Law of the Iterated Logarithm for Self-normalized Sums . . . 311--328 Ante Mimica Harnack Inequality and Hölder Regularity Estimates for a Lévy Process with Small Jumps of High Intensity . . . . . . . . 329--348 Jiahua Chen A Partial Order on Uncertainty and Information . . . . . . . . . . . . . . 349--359 Hanna Döring and Peter Eichelsbacher Moderate Deviations via Cumulants . . . 360--385 Sayan Banerjee and Arup Bose Noncrossing Partitions, Catalan Words, and the Semicircle Law . . . . . . . . . 386--409 Florian Fuchs and Robert Stelzer Spectral Representation of Multivariate Regularly Varying Lévy and CARMA Processes . . . . . . . . . . . . . . . 410--436 Tomasz Klimsiak On Time-Dependent Functionals of Diffusions Corresponding to Divergence Form Operators . . . . . . . . . . . . . 437--473 Michel M. Denuit and Mhamed Mesfioui Ordering Functions of Random Vectors, with Application to Partial Sums . . . . 474--479 Shang-Yuan Shiu Covering a Connected Curve on the Torus with Squares . . . . . . . . . . . . . . 480--488 Yuri Kifer A Nonconventional Invariance Principle for Random Fields . . . . . . . . . . . 489--513 Carl Mueller and Shannon Starr The Length of the Longest Increasing Subsequence of a Random Mallows Permutation . . . . . . . . . . . . . . 514--540 Fangjun Xu Regularity of Harmonic Functions for Some Markov Chains with Unbounded Range 541--556 Abraham Neyman The Maximal Variation of Martingales of Probabilities and Repeated Games with Incomplete Information . . . . . . . . . 557--567 Manon Defosseux An Interacting Particle Model and a Pieri-Type Formula for the Orthogonal Group . . . . . . . . . . . . . . . . . 568--588 David M. Mason Erratum to: The Asymptotic Distribution of Self-Normalized Triangular Arrays . . 589--593
M. Capitaine Additive\slash Multiplicative Free Subordination Property and Limiting Eigenvectors of Spiked Additive Deformations of Wigner Matrices and Spiked Sample Covariance Matrices . . . 595--648 Oliver Kley Kuelbs--Li Inequalities and Metric Entropy of Convex Hulls . . . . . . . . 649--665 Paul Ressel Finite Exchangeability, Lévy--Frailty Copulas and Higher-Order Monotonic Sequences . . . . . . . . . . . . . . . 666--675 Hongshuai Dai Convergence in Law to Operator Fractional Brownian Motions . . . . . . 676--696 Paul Deheuvels and Sarah Ouadah Uniform-in-Bandwidth Functional Limit Laws . . . . . . . . . . . . . . . . . . 697--721 Yaozhong Hu and Samy Tindel Smooth Density for Some Nilpotent Rough Differential Equations . . . . . . . . . 722--749 Sean O'Rourke and David Renfrew and Alexander Soshnikov On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with Non-identically Distributed Entries 750--780 Philip Herriger Countable Random Sets: Uniqueness in Law and Constructiveness . . . . . . . . . . 781--802 S. G. Bobkov and G. P. Chistyakov and F. Götze Convergence to Stable Laws in Relative Entropy . . . . . . . . . . . . . . . . 803--818 Arup Bose and Sanchayan Sen Finite Diagonal Random Matrices . . . . 819--835 Erik I. Broman and Federico Camia and Matthijs Joosten and Ronald Meester Dimension (In)equalities and Hölder Continuous Curves in Fractal Percolation 836--854 Teodor Banica and Ion Nechita Asymptotic Eigenvalue Distributions of Block-Transposed Wishart Matrices . . . 855--869 Rui F. Vigelis and Charles C. Cavalcante On $ \phi $-Families of Probability Distributions . . . . . . . . . . . . . 870--884 Ken-iti Sato and Yohei Ueda Weak Drifts of Infinitely Divisible Distributions and Their Applications . . 885--898 Jong-Il Baek and Sung-Tae Park Retraction Note to: Convergence of Weighted Sums for Arrays of Negatively Dependent Random Variables and Its Applications . . . . . . . . . . . . . . 899--900
Ken-iti Sato Inversions of Infinitely Divisible Distributions and Conjugates of Stochastic Integral Mappings . . . . . . 901--931 Reiichiro Kawai Local Asymptotic Normality Property for Ornstein--Uhlenbeck Processes with Jumps Under Discrete Sampling . . . . . . . . 932--967 Dirk Zeindler Central Limit Theorem for Multiplicative Class Functions on the Symmetric Group 968--996 Jie-Ming Wang Stochastic Comparison for Lévy-Type Processes . . . . . . . . . . . . . . . 997--1019 Murat Kologlu and Gene S. Kopp and Steven J. Miller The Limiting Spectral Measure for Ensembles of Symmetric Block Circulant Matrices . . . . . . . . . . . . . . . . 1020--1060 Andrzej Rozkosz Stochastic Representation of Weak Solutions of Viscous Conservation Laws: A BSDE Approach . . . . . . . . . . . . 1061--1083 Olga Friesen and Matthias Löwe The Semicircle Law for Matrices with Independent Diagonals . . . . . . . . . 1084--1096 Mathias Rafler The Pólya Sum Process: Limit Theorems for Conditioned Random Fields . . . . . . . 1097--1116 Masafumi Hayashi and Arturo Kohatsu-Higa and Gô Yûki Local Hölder Continuity Property of the Densities of Solutions of SDEs with Singular Coefficients . . . . . . . . . 1117--1134 Tongkeun Chang and Kijung Lee and Minsuk Yang On Initial-Boundary Value Problem of the Stochastic Heat Equation in Lipschitz Cylinders . . . . . . . . . . . . . . . 1135--1164 Olle Häggström Two Badly Behaved Percolation Processes on a Nonunimodular Graph . . . . . . . . 1165--1180 Makoto Nakashima Minimal Position of Branching Random Walks in Random Environment . . . . . . 1181--1217
Adam Ose\ckowski Maximal Inequalities for Martingales and Their Differential Subordinates . . . . 1--21 Christoph Temmel Shearer's Measure and Stochastic Domination of Product Measures . . . . . 22--40 Mohsen Soltanifar On Operator-Valued Semicircular Random Variables . . . . . . . . . . . . . . . 41--56 Julian Tugaut Self-stabilizing Processes in Multi-wells Landscape in $ R^d $-Invariant Probabilities . . . . . . . 57--79 Feng-Yu Wang Derivative Formula and Gradient Estimates for Gruschin Type Semigroups 80--95 Soo Hak Sung Marcinkiewicz--Zygmund Type Strong Law of Large Numbers for Pairwise i.i.d. Random Variables . . . . . . . . . . . . 96--106 Kyeong-Hun Kim A Weighted Sobolev Space Theory of Parabolic Stochastic PDEs on Non-smooth Domains . . . . . . . . . . . . . . . . 107--136 Huijie Qiao Exponential Ergodicity for SDEs with Jumps and Non--Lipschitz Coefficients 137--152 Antal A. Járai and Nicolás Werning Minimal Configurations and Sandpile Measures . . . . . . . . . . . . . . . . 153--167 Said Karim Bounebache and Lorenzo Zambotti A Skew Stochastic Heat Equation . . . . 168--201 Przemys\law Klusik and Zbigniew Palmowski A Note on Wiener--Hopf Factorization for Markov Additive Processes . . . . . . . 202--219 Ivan Nourdin and Murad S. Taqqu Central and Non-central Limit Theorems in a Free Probability Setting . . . . . 220--248 Olivier Durieu and Marco Tusche An Empirical Process Central Limit Theorem for Multidimensional Dependent Data . . . . . . . . . . . . . . . . . . 249--277 Waldemar Grundmann Moment Functions and Central Limit Theorem for Jacobi Hypergroups on $ \lbrack 0, \infty \lbrack $ . . . . . . 278--300 Sergey Utev and Syeda Rabab Mudakkar Rademacher Inequalities with Applications . . . . . . . . . . . . . . 301--314
Ming Liao Inhomogeneous Lévy Processes in Lie Groups and Homogeneous Spaces . . . . . 315--357 Christopher R. Dance An Inequality for the Sum of Independent Bounded Random Variables . . . . . . . . 358--369 Shigeyoshi Ogawa and Hideaki Uemura On a Stochastic Fourier Coefficient: Case of Noncausal Functions . . . . . . 370--382 Peter Kern and Lina Wedrich The Hausdorff Dimension of Operator Semistable Lévy Processes . . . . . . . . 383--403 Yuichi Shiozawa and Toshihiro Uemura Explosion of Jump-Type Symmetric Dirichlet Forms on $ R^d $ . . . . . . . 404--432 Nicolas Curien and Takis Konstantopoulos Iterating Brownian Motions, Ad Libitum 433--448 Pierre A. Vuillermot and Jean C. Zambrini Bernstein Diffusions for a Class of Linear Parabolic Partial Differential Equations . . . . . . . . . . . . . . . 449--492 Michael Bromberg and Zemer Kosloff Weak Invariance Principle for the Local Times of Partial Sums of Markov Chains 493--517 P. Andreoletti and P. Debs The Number of Generations Entirely Visited for Recurrent Random Walks in a Random Environment . . . . . . . . . . . 518--538 Lukasz Debowski On Hidden Markov Processes with Infinite Excess Entropy . . . . . . . . . . . . . 539--551 Franco Flandoli and Peter Imkeller and Ciprian A. Tudor $2$D-Stochastic Currents over the Wiener Sheet . . . . . . . . . . . . . . . . . 552--575 Dang Hung Thang and Nguyen Thinh and Tran Xuan Quy Generalized Random Spectral Measures . . 576--600 Mikhail Menshikov and Serguei Popov On Range and Local Time of Many-dimensional Submartingales . . . . 601--617 Paul Jung Random-Time Isotropic Fractional Stable Fields . . . . . . . . . . . . . . . . . 618--633 Xueping Huang Escape Rate of Markov Chains on Infinite Graphs . . . . . . . . . . . . . . . . . 634--682
Idris Kharroubi and Thomas Lim Progressive Enlargement of Filtrations and Backward Stochastic Differential Equations with Jumps . . . . . . . . . . 683--724 S. M. Mirakhmedov and S. Rao Jammalamadaka and Ibrahim B. Mohamed On Edgeworth Expansions in Generalized Urn Models . . . . . . . . . . . . . . . 725--753 Nikola Sandri\'c Recurrence and Transience Criteria for Two Cases of Stable-Like Markov Chains 754--788 Yaozhong Hu and David Nualart and Jian Song The $ \frac {4}{3}$-Variation of the Derivative of the Self-intersection Brownian Local Time and Related Processes . . . . . . . . . . . . . . . 789--825 Gabriel H. Tucci and Philip A. Whiting Asymptotic Behavior of the Maximum and Minimum Singular Value of Random Vandermonde Matrices . . . . . . . . . . 826--862 Juan Yang and Tusheng Zhang Existence and Uniqueness of Invariant Measures for SPDEs with Two Reflecting Walls . . . . . . . . . . . . . . . . . 863--877 Ekaterina Vladimirovna Bulinskaya Local Particles Numbers in Critical Branching Random Walk . . . . . . . . . 878--898 Stella Brassesco and Silvana C. García Pire On the Density of the Winding Number of Planar Brownian Motion . . . . . . . . . 899--914 Wiktor Ejsmont Characterizations of Some Free Random Variables by Properties of Conditional Moments of Third Degree Polynomials . . 915--931 Jean-Marc Aza\"\is and Mario Wschebor The Tail of the Maximum of Smooth Gaussian Fields on Fractal Sets . . . . 932--944 Christian Döbler and Michael Stolz A Quantitative Central Limit Theorem for Linear Statistics of Random Matrix Eigenvalues . . . . . . . . . . . . . . 945--953 James Allen Fill and Vince Lyzinski Hitting Times and Interlacing Eigenvalues: A Stochastic Approach Using Intertwinings . . . . . . . . . . . . . 954--981 Makoto Maejima and Taisuke Takamune and Yohei Ueda The Dichotomy of Recurrence and Transience of Semi-Lévy Processes . . . . 982--996 Lung-Chi Chen and Rongfeng Sun A Monotonicity Result for the Range of a Perturbed Random Walk . . . . . . . . . 997--1010 Mingshang Hu and Xiaojuan Li Independence Under the $G$-Expectation Framework . . . . . . . . . . . . . . . 1011--1020 Jian Wang On the Existence and Explicit Estimates for the Coupling Property of Lévy Processes with Drift . . . . . . . . . . 1021--1044 Roman Berezin and Leonid Mytnik Asymptotic Behaviour of the Critical Value for the Contact Process with Rapid Stirring . . . . . . . . . . . . . . . . 1045--1057
Ang Wei Representations of the Absolute Value Function and Applications in Gaussian Estimates . . . . . . . . . . . . . . . 1059--1070 Radoslaw Adamczak and Piotr Milo\'s $U$-Statistics of Ornstein--Uhlenbeck Branching Particle System . . . . . . . 1071--1111 G. Gaines and K. Kaphle and F. Ruymgaart A Note on Random Perturbations of a Multiple Eigenvalue of a Hermitian Operator . . . . . . . . . . . . . . . . 1112--1123 Yizao Wang An Invariance Principle for Fractional Brownian Sheets . . . . . . . . . . . . 1124--1139 Ryoki Fukushima and Naoki Kubota Quenched Large Deviations for Multidimensional Random Walk in Random Environment with Holding Times . . . . . 1140--1166 Christian Kleiber The Generalized Lognormal Distribution and the Stieltjes Moment Problem . . . . 1167--1177 Nathaniel Eldredge and Laurent Saloff-Coste Widder's Representation Theorem for Symmetric Local Dirichlet Spaces . . . . 1178--1212 B. Chikvinidze and M. Mania New Proofs of Some Results on Bounded Mean Oscillation Martingales Using Backward Stochastic Differential Equations . . . . . . . . . . . . . . . 1213--1228 Xuejun Wang and Xinghui Wang and Xiaoqin Li and Shuhe Hu Extensions of the Borel--Cantelli lemma in general measure spaces . . . . . . . 1229--1248 Nicolas Curien and Jean-François Le Gall The Brownian Plane . . . . . . . . . . . 1249--1291 A. E. Kyprianou and J. C. Pardo and J. L. Pérez Occupation Times of Refracted Lévy Processes . . . . . . . . . . . . . . . 1292--1315 Kazuki Okamura Singularity Results for Functional Equations Driven by Linear Fractional Transformations . . . . . . . . . . . . 1316--1328 Najmeddine Attia On the Multifractal Analysis of the Branching Random Walk in $ \mathbb {R}^d $ . . . . . . . . . . . . . . . . . . . 1329--1349 Martin Ondreját and Mark Veraar Weak Characterizations of Stochastic Integrability and Dudley's Theorem in Infinite Dimensions . . . . . . . . . . 1350--1374 Gabriel Faraud and Stéphane Goutte Bessel Bridges Decomposition with Varying Dimension: Applications to Finance . . . . . . . . . . . . . . . . 1375--1403
Gerold Alsmeyer and Alexander Iksanov and Matthias Meiners Power and Exponential Moments of the Number of Visits and Related Quantities for Perturbed Random Walks . . . . . . . 1--40 Amaury Lambert and Florian Simatos Asymptotic Behavior of Local Times of Compound Poisson Processes with Drift in the Infinite Variance Case . . . . . . . 41--91 Enzo Orsingher and Mirko D'Ovidio Higher-Order Laplace Equations and Hyper--Cauchy Distributions . . . . . . 92--118 Bojan Basrak and Danijel Krizmani\'c A Multivariate Functional Limit Theorem in Weak $ M_1 $ Topology . . . . . . . . 119--136 Christophe Cuny and Florence Merlev\`ede Strong Invariance Principles with Rate for ``Reverse'' Martingale Differences and Applications . . . . . . . . . . . . 137--183 Michael Grabchak Inversions of Lévy Measures and the Relation Between Long and Short Time Behavior of Lévy Processes . . . . . . . 184--197 Daniel Ahlberg Convergence Towards an Asymptotic Shape in First-Passage Percolation on Cone-Like Subgraphs of the Integer Lattice . . . . . . . . . . . . . . . . 198--222 Ju-Yi Yen and Marc Yor A Variant of Pitman's Theorem on $ (2 J_s - R_s, s \geq 0) $ for a General Transient Bessel Process $ R_{( +)} $ and Its Implications for the Corresponding Itô's Measure $ \large \mathbf {n}_{( -)} $ . . . . . . . . . . 223--230 Rim Essifi and Marc Peigné Return Probabilities for the Reflected Random Walk on $ \mathbb {N}_0 $ . . . . 231--258 Yong-Hua Mao and Feng Wang and Xian-Yuan Wu Large Deviation Behavior for the Longest Head Run in an IID Bernoulli Sequence 259--268 Nicolas Privault Cumulant Operators for Lie--Wiener--Itô--Poisson Stochastic Integrals . . . . . . . . . . . . . . . 269--298 Paul Jung and Greg Markowsky Hölder Continuity and Occupation-Time Formulas for fBm Self-Intersection Local Time and Its Derivative . . . . . . . . 299--312 James Kuelbs and Joel Zinn Empirical Quantile Central Limit Theorems for Some Self-Similar Processes 313--336 Lucian Maticiuc and Tianyang Nie Fractional Backward Stochastic Differential Equations and Fractional Backward Variational Inequalities . . . 337--395 Ehsan Azmoodeh and Lauri Viitasaari Rate of Convergence for Discretization of Integrals with Respect to Fractional Brownian Motion . . . . . . . . . . . . 396--422
Feng-Yu Wang and Jian Wang Functional Inequalities for Stable-Like Dirichlet Forms . . . . . . . . . . . . 423--448 Li-Juan Cheng The Radial Part of Brownian Motion with Respect to $ \mathcal {L} $-Distance Under Ricci Flow . . . . . . . . . . . . 449--466 Yueyun Hu The Almost Sure Limits of the Minimal Position and the Additive Martingale in a Branching Random Walk . . . . . . . . 467--487 Yuval Peres and Perla Sousi Mixing Times are Hitting Times of Large Sets . . . . . . . . . . . . . . . . . . 488--519 Rafael B. Stern and Joseph B. Kadane Coherence of Countably Many Bets . . . . 520--538 Gennadiy Feldman On the Skitovich--Darmois Theorem for the Group of $p$-Adic Numbers . . . . . 539--549 Jiagang Ren and Jing Wu and Hua Zhang General Large Deviations and Functional Iterated Logarithm Law for Multivalued Stochastic Differential Equations . . . 550--586 Wen Yue and Tusheng Zhang Absolute Continuity of the Laws of Perturbed Diffusion Processes and Perturbed Reflected Diffusion Processes 587--618 Uwe Franz and Tarek Hamdi Stochastic Analysis for Obtuse Random Walks . . . . . . . . . . . . . . . . . 619--649 Kamil Jurczak A Universal Expectation Bound on Empirical Projections of Deformed Random Matrices . . . . . . . . . . . . . . . . 650--666 Hamdy M. Ahmed Semilinear Neutral Fractional Stochastic Integro--Differential Equations with Nonlocal Conditions . . . . . . . . . . 667--680 Anita Behme and Alexander Lindner On Exponential Functionals of Lévy Processes . . . . . . . . . . . . . . . 681--720 Xia Chen The Limit Law of the Iterated Logarithm 721--725 Sean O'Rourke and Alexander Soshnikov Partial Linear Eigenvalue Statistics for Wigner and Sample Covariance Random Matrices . . . . . . . . . . . . . . . . 726--744 Marwa Banna and Florence Merlev\`ede Limiting Spectral Distribution of Large Sample Covariance Matrices Associated with a Class of Stationary Processes . . 745--783
C. R. E. Raja Operator Decomposable Measures and Stochastic Difference Equations . . . . 785--803 Tiefeng Jiang and Danning Li Approximation of Rectangular Beta--Laguerre Ensembles and Large Deviations . . . . . . . . . . . . . . . 804--847 Jacob Funk and Mihai Nica and Michael Noyes Stabilization Time for a Type of Evolution on Binary Strings . . . . . . 848--865 Jelena Ryvkina Fractional Brownian Motion with Variable Hurst Parameter: Definition and Properties . . . . . . . . . . . . . . . 866--891 Aleksandar Mijatovi\'c and Mikhail Urusov On the Loss of the Semimartingale Property at the Hitting Time of a Level 892--922 Brigitte Chauvin and Cécile Mailler and Nicolas Pouyanne Smoothing Equations for Large Pólya Urns 923--957 Zhao Dong and Jiange Li and Wenbo V. Li A Note on Distribution--Free Symmetrization Inequalities . . . . . . 958--967 Iddo Ben-Ari On Independence and Determination of Probability Measures . . . . . . . . . . 968--975 Sergey G. Bobkov and Gennadiy P. Chistyakov On Concentration Functions of Random Variables . . . . . . . . . . . . . . . 976--988 Makoto Maejima and Jan Rosi\'nski and Yohei Ueda Stochastic Integral and Series Representations for Strictly Stable Distributions . . . . . . . . . . . . . 989--1006 Yuanbao Kang and Caishi Wang Quantum Stochastic Integral Representations on Interacting Fock Space . . . . . . . . . . . . . . . . . 1007--1027 Axel Bücher A Note on Weak Convergence of the Sequential Multivariate Empirical Process Under Strong Mixing . . . . . . 1028--1037 Hongxin Guo and Robert Philipowski and Anton Thalmaier Martingales on Manifolds with Time--Dependent Connection . . . . . . . 1038--1062 Lennart Bondesson A Class of Probability Distributions that is Closed with Respect to Addition as Well as Multiplication of Independent Random Variables . . . . . . . . . . . . 1063--1081 Nobuaki Naganuma Asymptotic Error Distributions of the Crank--Nicolson Scheme for SDEs Driven by Fractional Brownian Motion . . . . . 1082--1124 Ronan Le Guével and Jacques Lévy Véhel and Lining Liu On Two Multistable Extensions of Stable Lévy Motion and Their Semi-martingale Representations . . . . . . . . . . . . 1125--1144 V. Cekanavicius and P. Vellaisamy A Compound Poisson Convergence Theorem for Sums of $m$-Dependent Variables . . 1145--1164 Chetan D. Pahlajani Stochastic Averaging for a Hamiltonian System with Skew Random Perturbations 1165--1226 Tomasz Bojdecki and Luis G. Gorostiza and Anna Talarczyk From intersection local time to the Rosenblatt process . . . . . . . . . . . 1227--1249 Rim Essifi and Marc Peigné Erratum to: Return Probabilities for the Reflected Random Walk on $ \mathbb {N}_0 $ . . . . . . . . . . . . . . . . . . . 1250--1251
Lee R. Gibson and Melanie Pivarski The Rate of Decay of the Wiener Sausage in Local Dirichlet Space . . . . . . . . 1253--1270 Paul Balança An Increment--Type Set--Indexed Markov Property . . . . . . . . . . . . . . . . 1271--1310 Juan Fernández Sánchez and Wolfgang Trutschnig Conditioning-based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and Iterated Function Systems . . . . . . . . . . . . . . . . 1311--1336 Gwo Dong Lin and Jordan Stoyanov Moment Determinacy of Powers and Products of Nonnegative Random Variables 1337--1353 Ping Zhong On the Free Convolution with a Free Multiplicative Analogue of the Normal Distribution . . . . . . . . . . . . . . 1354--1379 Jaakko Lehtomaa Asymptotic Behaviour of Ruin Probabilities in a General Discrete Risk Model Using Moment Indices . . . . . . . 1380--1405 Aaron Smith Comparison Theory for Markov Chains on Different State Spaces and Application to Random Walk on Derangements . . . . . 1406--1430 Mathias Rafler and Hans Zessin The Logical Postulates of Böge, Carnap and Johnson in the Context of Papangelou Processes . . . . . . . . . . . . . . . 1431--1446 Xiaofeng Xue Asymptotic Behavior of Critical Infection Rates for Threshold--One Contact Processes on Lattices and Regular Trees . . . . . . . . . . . . . 1447--1467 Cécile Delaporte Lévy Processes with Marked Jumps I: Limit Theorems . . . . . . . . . . . . . . . . 1468--1499 W. Barreto-Souza and L. R. G. Fontes Long-range Trap Models on $ \mathbb {Z} $ and Quasistable Processes . . . . . . 1500--1519 S. G. Bobkov and G. P. Chistyakov and H. Kösters The Entropic Erd\Hos--Kac Limit Theorem 1520--1555 Bing-Yi Jing and Qiying Wang and Wang Zhou Cramér-Type Moderate Deviation for Studentized Compound Poisson Sum . . . . 1556--1570 G. Da Prato and F. Flandoli and E. Priola and M. Röckner Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term . . . . . . . . . 1571--1600 Xia Chen and Jie Xiong Annealed Asymptotics for Brownian Motion of Renormalized Potential in Mobile Random Medium . . . . . . . . . . . . . 1601--1650 Daniel Harnett and David Nualart On Simpson's Rule and Fractional Brownian Motion with $ H = 1 / 10 $ . . 1651--1688 Hristo Sendov and Shen Shan New Representation Theorems for Completely Monotone and Bernstein Functions with Convexity Properties on Their Measures . . . . . . . . . . . . . 1689--1725 Onur Gün and Wolfgang König and Ozren Sekulovi\'c Moment Asymptotics for Multitype Branching Random Walks in Random Environment . . . . . . . . . . . . . . 1726--1742 Dejun Luo Quasi-invariance of the Stochastic Flow Associated to Itô's SDE with Singular Time-Dependent Drift . . . . . . . . . . 1743--1762
Vladimir Dobric and Lisa Marano Lower Bounds for the Distribution of Suprema of Brownian Increments and Brownian Motion Normalized by the Corresponding Modulus Functions . . . . 1--31 Jòrgen Hoffmann-Jòrgensen and Yu Miao and Xiao Chun Li and Shou Fang Xu Kolmogorov Type Law of the Logarithm for Arrays . . . . . . . . . . . . . . . . . 32--47 Eckhard Schlemm The Kearns--Saul Inequality for Bernoulli and Poisson--Binomial Distributions . . . . . . . . . . . . . 48--62 Takashi Owada Limit Theory for the Sample Autocovariance for Heavy-Tailed Stationary Infinitely Divisible Processes Generated by Conservative Flows . . . . . . . . . . . . . . . . . 63--95 Matthias Schulte Normal Approximation of Poisson Functionals in Kolmogorov Distance . . . 96--117 Raluca Vernic On the Distribution of a Sum of Sarmanov Distributed Random Variables . . . . . . 118--142 Thierry Huillet and Servet Martínez On Möbius Duality and Coarse--Graining 143--179 Ondrej F. K. Kalenda and Jirí Spurný Typical Martingale Diverges at a Typical Point . . . . . . . . . . . . . . . . . 180--205 Harry Crane and Steven P. Lalley Exchangeable Markov Processes on $ [k]^{\mathbb N} $ with Cadlag Sample Paths . . . . . . . . . . . . . . . . . 206--230 Robert E. Gaunt Rates of Convergence in Normal Approximation Under Moment Conditions Via New Bounds on Solutions of the Stein Equation . . . . . . . . . . . . . . . . 231--247 Alina Bazarova and István Berkes and Lajos Horváth On the Extremal Theory of Continued Fractions . . . . . . . . . . . . . . . 248--266 Aurel Spataru Convergence and Precise Asymptotics for Series Involving Self-normalized Sums 267--276 Allan Gut and Anders Martin-Löf A Maxtrimmed St. Petersburg Game . . . . 277--291 Richard C. Bradley and Zbigniew J. Jurek Strong Mixing and Operator-Selfdecomposability . . . . . . 292--306 Junfeng Liu and Litan Yan Solving a Nonlinear Fractional Stochastic Partial Differential Equation with Fractional Noise . . . . . . . . . 307--347
Pedro Terán A Multivalued Strong Law of Large Numbers . . . . . . . . . . . . . . . . 349--358 Christa Cuchiero and Martin Keller-Ressel and Eberhard Mayerhofer and Josef Teichmann Affine Processes on Symmetric Cones . . 359--422 Cecilia Prosdocimi and Lorenzo Finesso Countable Partially Exchangeable Mixtures . . . . . . . . . . . . . . . . 423--442 Alexander Steinicke Functionals of a Lévy Process on Canonical and Generic Probability Spaces 443--458 Nikola Sandri\'c Ergodic Property of Stable-Like Markov Chains . . . . . . . . . . . . . . . . . 459--490 Raluca Balan and Adam Jakubowski and Sana Louhichi Functional Convergence of Linear Processes with Heavy-Tailed Innovations 491--526 Kathleen Lan and Kevin McGoff Coalescence and Meeting Times on $n$-Block Markov Chains . . . . . . . . 527--549 Bartosz Kolodziejek The Lukacs--Olkin--Rubin Theorem on Symmetric Cones Without Invariance of the ''Quotient'' . . . . . . . . . . . . 550--568 Martin Sauer $ L^1 $-Uniqueness of Kolmogorov Operators Associated with Two-Dimensional Stochastic Navier--Stokes Coriolis Equations with Space--Time White Noise . . . . . . . . 569--589 Tommi Sottinen and Lauri Viitasaari Pathwise Integrals and Itô--Tanaka Formula for Gaussian Processes . . . . . 590--616 Jianhai Bao and Chenggui Yuan Blow-up for Stochastic Reaction--Diffusion Equations with Jumps 617--631 Franziska Kühn and René L. Schilling Moderate Deviations and Strassen's Law for Additive Processes . . . . . . . . . 632--652 Ivan Nourdin and Giovanni Peccati and Guillaume Poly and Rosaria Simone Classical and Free Fourth Moment Theorems: Universality and Thresholds 653--680 Mark M. Meerschaert and Farzad Sabzikar Tempered Fractional Stable Motion . . . 681--706 Wolfgang Bischoff and Andreas Gegg The Cameron--Martin Theorem for ($p$-)Slepian Processes . . . . . . . . 707--715
Zhengyan Lin and Hanchao Wang On Convergence to Stochastic Integrals 717--736 Frank Aurzada and Tanja Kramm The First Passage Time Problem Over a Moving Boundary for Asymptotically Stable Lévy Processes . . . . . . . . . . 737--760 Zhongzhi Wang and Weiguo Yang The Generalized Entropy Ergodic Theorem for Nonhomogeneous Markov Chains . . . . 761--775 Fernando Cordero The First Passage Time of a Stable Process Conditioned to Not Overshoot . . 776--796 Timber Kerkvliet and Ronald Meester Uniquely Determined Uniform Probability on the Natural Numbers . . . . . . . . . 797--825 Ivana Gecek Tuden and Zoran Vondracek A Distributional Equality for Suprema of Spectrally Positive Lévy Processes . . . 826--842 Yong Liu and Jianliang Zhai Time Regularity of Generalized Ornstein--Uhlenbeck Processes with Lévy Noises in Hilbert Spaces . . . . . . . . 843--866 Leonid Koralov and Lucas Tcheuko Quasi-Linear Equations with a Small Diffusion Term and the Evolution of Hierarchies of Cycles . . . . . . . . . 867--895 Toshiro Watanabe Escape Rates for Multidimensional Shift Self-similar Additive Sequences . . . . 896--921 Takahiro Hasebe and Steen Thorbjòrnsen Unimodality of the Freely Selfdecomposable Probability Laws . . . 922--940 Junna Bi and Fangjun Xu A first-order limit law for functionals of two independent fractional Brownian motions in the critical case . . . . . . 941--957 Mátyás Barczy and Zenghu Li and Gyula Pap Moment Formulas for Multitype Continuous State and Continuous Time Branching Process with Immigration . . . . . . . . 958--995 Oleksandr Misiats and Oleksandr Stanzhytskyi and Nung Kwan Yip Existence and Uniqueness of Invariant Measures for Stochastic Reaction--Diffusion Equations in Unbounded Domains . . . . . . . . . . . 996--1026 Igor Kortchemski Predator--Prey Dynamics on Infinite Trees: A Branching Random Walk Approach 1027--1046 Winfried Hochstättler and Werner Kirsch and Simone Warzel Semicircle Law for a Matrix Ensemble with Dependent Entries . . . . . . . . . 1047--1068 Erik I. Broman Stochastic Ordering of Infinite Geometric Galton--Watson Trees . . . . . 1069--1082 Zsolt Pajor-Gyulai and Michael Salins On Dynamical Systems Perturbed by a Null-Recurrent Fast Motion: The Continuous Coefficient Case with Independent Driving Noises . . . . . . . 1083--1099 Yanqing Yin and Zhidong Bai and Jiang Hu On the Semicircular Law of Large--Dimensional Random Quaternion Matrices . . . . . . . . . . . . . . . . 1100--1120 Sean O'Rourke and David Renfrew Central Limit Theorem for Linear Eigenvalue Statistics of Elliptic Random Matrices . . . . . . . . . . . . . . . . 1121--1191 Leif Döring and Andreas E. Kyprianou Perpetual Integrals for Lévy Processes 1192--1198
Joseph Najnudel and Ashkan Nikeghbali and Alain Rouault Limit Theorems for Orthogonal Polynomials Related to Circular Ensembles . . . . . . . . . . . . . . . 1199--1239 Nils Berglund and Sébastien Dutercq The Eyring--Kramers Law for Markovian Jump Processes with Symmetries . . . . . 1240--1279 Huaiqian Li Dimension-Free Harnack Inequalities on $ {\rm RCD}(K, \infty) $ Spaces . . . . . 1280--1297 James Allen Fill and Vince Lyzinski Strong Stationary Duality for Diffusion Processes . . . . . . . . . . . . . . . 1298--1338 Philippe Loubaton On the Almost Sure Location of the Singular Values of Certain Gaussian Block-Hankel Large Random Matrices . . . 1339--1443 Carlos G. Pacheco Picard Iterations for Diffusions on Symmetric Matrices . . . . . . . . . . . 1444--1457 Ari Arapostathis and Vivek S. Borkar and K. Suresh Kumar Risk-Sensitive Control and an Abstract Collatz--Wielandt Formula . . . . . . . 1458--1484 Michael J. Klass and Krzysztof Nowicki Uniform Bounds on the Relative Error in the Approximation of Upper Quantiles for Sums of Arbitrary Independent Random Variables . . . . . . . . . . . . . . . 1485--1509 Xiao Fang A Multivariate CLT for Bounded Decomposable Random Vectors with the Best Known Rate . . . . . . . . . . . . 1510--1523 Yeor Hafouta and Yuri Kifer A Nonconventional Local Limit Theorem 1524--1553 Nicolas Lanchier and Paul-Henri Moisson Fixation Results for the Two-Feature Axelrod Model with a Variable Number of Opinions . . . . . . . . . . . . . . . . 1554--1580 Juan Carlos Pardo and José-Luis Pérez and Victor Pérez-Abreu A Random Matrix Approximation for the Non-commutative Fractional Brownian Motion . . . . . . . . . . . . . . . . . 1581--1598 Michel M. Denuit and Mhamed Mesfioui Multivariate Higher-Degree Stochastic Increasing Convexity . . . . . . . . . . 1599--1623 Omer Friedland and Ohad Giladi and Olivier Guédon Small Ball Estimates for Quasi-Norms . . 1624--1643 Shahar Mendelson Dvoretzky Type Theorems for Subgaussian Coordinate Projections . . . . . . . . . 1644--1660 Kôhei Uchiyama The Hitting Distribution of a Line Segment for Two-Dimensional Random Walks 1661--1684 Endre Csáki and Miklós Csörg\Ho and Antónia Földes and Pál Révész Some Limit Theorems for Heights of Random Walks on a Spider . . . . . . . . 1685--1709 Shuyang Bai and Murad S. Taqqu The Universality of Homogeneous Polynomial Forms and Critical Limits . . 1710--1727 Tadeusz Banek Banach Random Walk in the Unit Ball $ S \subset l^2 $ and Chaotic Decomposition of $ l^2 \left (S, \mathbb {P} \right) $ 1728--1735
Enzo Orsingher and Bruno Toaldo Space-Time Fractional Equations and the Related Stable Processes at Random Time 1--26 Thomas Madaule Convergence in Law for the Branching Random Walk Seen from Its Tip . . . . . 27--63 Wensheng Wang Large Deviations for Sums of Random Vectors Attracted to Operator Semi-Stable Laws . . . . . . . . . . . . 64--84 Christian Döbler Distributional Transformations Without Orthogonality Relations . . . . . . . . 85--116 Fulgence Eyi-Obiang and Youssef Ouknine and Octave Moutsinga On the Study of Processes of $ \sum (H) $ and $ \sum_\mathrm {s}(H) $ Classes 117--142 Guy Cohen and Jean-Pierre Conze CLT for Random Walks of Commuting Endomorphisms on Compact Abelian Groups 143--195 Davide Giraudo Holderian Weak Invariance Principle for Stationary Mixing Sequences . . . . . . 196--211 Javier Cárcamo Maps Preserving Moment Sequences . . . . 212--232 Ole E. Barndorff-Nielsen and Orimar Sauri and Benedykt Szozda Selfdecomposable Fields . . . . . . . . 233--267 Zakhar Kabluchko and Mikhail Lifshits Least Energy Approximation for Processes with Stationary Increments . . . . . . . 268--296 Tomasz Luks and Yimin Xiao On the Double Points of Operator Stable Lévy Processes . . . . . . . . . . . . . 297--325 Tiefeng Jiang and Yongcheng Qi Spectral Radii of Large Non--Hermitian Random Matrices . . . . . . . . . . . . 326--364 Jan-Frederik Mai and Steffen Schenk and Matthias Scherer Two Novel Characterizations of Self-Decomposability on the Half-Line 365--383 Dan-Virgil Voiculescu Free Probability for Pairs of Faces IV: Bi-free Extremes in the Plane . . . . . 384--394 Kyeong-Hun Kim Erratum to: An $ L_p$-theory of Stochastic PDEs of Divergence Form on Lipschitz Domains . . . . . . . . . . . 395--396
Todd Kemp Heat Kernel Empirical Laws on $ \mathbb {U}_N $ and $ \mathbb {GL}_N $ . . . . . 397--451 Xin Chen and Jian Wang Weighted Poincaré Inequalities for Non-local Dirichlet Forms . . . . . . . 452--489 Yuko Yano On the Joint Law of the Occupation Times for a Diffusion Process on Multiray . . 490--509 Suprio Bhar An Itô Formula in the Space of Tempered Distributions . . . . . . . . . . . . . 510--528 Yueyun Hu Local Times of Subdiffusive Biased Walks on Trees . . . . . . . . . . . . . . . . 529--550 Giovanni Conforti and Paolo Dai Pra and Sylvie Roelly Reciprocal Class of Jump Processes . . . 551--580 Xinpeng Li and Yiqing Lin Generalized Wasserstein Distance and Weak Convergence of Sublinear Expectations . . . . . . . . . . . . . . 581--593 Erik A. van Doorn An Orthogonal-Polynomial Approach to First-Hitting Times of Birth--Death Processes . . . . . . . . . . . . . . . 594--607 Gennadiy Feldman and Margaryta Myronyuk On a Characterization of Idempotent Distributions on Discrete Fields and on the Field of $p$-Adic Numbers . . . . . 608--623 Bartosz Kolodziejek The Matsumoto--Yor Property and Its Converse on Symmetric Cones . . . . . . 624--638 Malin P. Forsström and Johan Jonasson The Spectrum and Convergence Rates of Exclusion and Interchange Processes on the Complete Graph . . . . . . . . . . . 639--654 Richard C. Bradley and Cristina Tone A Central Limit Theorem for Non-stationary Strongly Mixing Random Fields . . . . . . . . . . . . . . . . . 655--674 Yuguang Fan Tightness and Convergence of Trimmed Lévy Processes to Normality at Small Times 675--699 Xia Chen Acknowledgment of Priority . . . . . . . 700--700 F. Gamboa and A. Rouault Erratum to: Canonical Moments and Random Spectral Measures . . . . . . . . . . . 701--702
Moritz Jirak On Weak Invariance Principles for Partial Sums . . . . . . . . . . . . . . 703--728 Péter Kevei and David M. Mason Couplings and Strong Approximations to Time--Dependent Empirical Processes Based on I.I.D. Fractional Brownian Motions . . . . . . . . . . . . . . . . 729--770 Hamdy M. Ahmed Sobolev-Type Fractional Stochastic Integrodifferential Equations with Nonlocal Conditions in Hilbert Space . . 771--783 Dirk Erhard and Julián Martínez and Julien Poisat Brownian Paths Homogeneously Distributed in Space: Percolation Phase Transition and Uniqueness of the Unbounded Cluster 784--812 Daniel Alpay and Palle Jorgensen and David Levanony On the Equivalence of Probability Spaces 813--841 Xin He Conditioning Galton--Watson Trees on Large Maximal Outdegree . . . . . . . . 842--851 Hideaki Noda Large Deviations for Brownian Motion on Scale Irregular Sierpi\'nski Gaskets . . 852--875 F. Götze and A. Naumov and V. Ulyanov Asymptotic Analysis of Symmetric Functions . . . . . . . . . . . . . . . 876--897 Zhen-Qing Chen and Yan-Xia Ren and Ting Yang Law of Large Numbers for Branching Symmetric Hunt Processes with Measure--Valued Branching Rates . . . . 898--931 Jirô Akahori and Takafumi Amaba and Kaori Okuma A Discrete--Time Clark--Ocone Formula and its Application to an Error Analysis 932--960 Xiaoqiang Wang and Chunmao Huang Convergence of Martingale and Moderate Deviations for a Branching Random Walk with a Random Environment in Time . . . 961--995 Luísa Pereira and Zhongquan Tan Almost Sure Convergence for the Maximum of Nonstationary Random Fields . . . . . 996--1013 Carsten Chong Lévy-driven Volterra Equations in Space and Time . . . . . . . . . . . . . . . . 1014--1058 Toshiro Watanabe and Kouji Yamamuro Two Non-closure Properties on the Class of Subexponential Densities . . . . . . 1059--1075 Deng Zhang Tridiagonal Random Matrix: Gaussian Fluctuations and Deviations . . . . . . 1076--1103 István Berkes and László Györfi and Péter Kevei Tail Probabilities of St. Petersburg Sums, Trimmed Sums, and Their Limit . . 1104--1129 Michael Voit Dispersion and Limit Theorems for Random Walks Associated with Hypergeometric Functions of Type BC . . . . . . . . . . 1130--1169 Nikita Alexeev and Alexander Tikhomirov Singular Values Distribution of Squares of Elliptic Random Matrices and Type B Narayana Polynomials . . . . . . . . . . 1170--1190 Shanshan Ding Tensor Powers of the Defining Representation of $ S_n $ . . . . . . . 1191--1199 Andrey Sarantsev Reflected Brownian Motion in a Convex Polyhedral Cone: Tail Estimates for the Stationary Distribution . . . . . . . . 1200--1223
Jeffrey Gaither and Hosam Mahmoud and Mark Daniel Ward On the Variety of Shapes in Digital Trees . . . . . . . . . . . . . . . . . 1225--1254 Burgess Davis and Jonathon Peterson Excited Random Walks with Non-nearest Neighbor Steps . . . . . . . . . . . . . 1255--1284 Alexandre Richard Some Singular Sample Path Properties of a Multiparameter Fractional Brownian Motion . . . . . . . . . . . . . . . . . 1285--1309 Wei Liu and Kuanhou Tian and Mohammud Foondun On Some Properties of a Class of Fractional Stochastic Heat Equations . . 1310--1333 Li-Juan Cheng and Kun Zhang Reflecting Diffusion Processes on Manifolds Carrying Geometric Flow . . . 1334--1368 Antoine Ayache and Geoffrey Boutard Stationary Increments Harmonizable Stable Fields: Upper Estimates on Path Behaviour . . . . . . . . . . . . . . . 1369--1423 Jianping Jiang and Tom Kennedy The Difference Between a Discrete and Continuous Harmonic Measure . . . . . . 1424--1444 Richard Lechner and Markus Passenbrunner and Joscha Prochno Estimating Averages of Order Statistics of Bivariate Functions . . . . . . . . . 1445--1470 Changhao Chen and Tuomo Ojala and Eino Rossi and Ville Suomala Fractal Percolation, Porosity, and Dimension . . . . . . . . . . . . . . . 1471--1498 Peng Jin Brownian Motion with Singular Time-Dependent Drift . . . . . . . . . . 1499--1538 Holger Dette and Dominik Tomecki Hankel Determinants of Random Moment Sequences . . . . . . . . . . . . . . . 1539--1564 Lan Wu and Jiang Zhou and Shuang Yu Occupation Times of General Lévy Processes . . . . . . . . . . . . . . . 1565--1604 Wei Wei Meng and Jun Ping Li Decay Properties of $n$-type Markov Branching Processes with Disasters . . . 1605--1623 Jean Rochet Complex Outliers of Hermitian Random Matrices . . . . . . . . . . . . . . . . 1624--1654 Aurelija Kasparaviciute and Dovile Deltuviene Asymptotic Expansion for the Distribution Density Function of the Compound Poisson Process in Large Deviations . . . . . . . . . . . . . . . 1655--1676 Wojciech Matysiak Hypergroups and Quantum Bessel Processes of Non-integer Dimensions . . . . . . . 1677--1691 Samy Abbes A Cut-Invariant Law of Large Numbers for Random Heaps . . . . . . . . . . . . . . 1692--1725 Dimitrios G. Konstantinides and Christos E. Kountzakis Distributions with Heavy Tails in Orlicz Spaces . . . . . . . . . . . . . . . . . 1726--1762 Chunsheng Ma Time Varying Isotropic Vector Random Fields on Spheres . . . . . . . . . . . 1763--1785 Suprio Bhar Correction to: An Itô Formula in the Space of Tempered Distributions . . . . 1786--1787
Piotr Milo\'s Spatial Central Limit Theorem for Supercritical Superprocesses . . . . . . 1--40 Shihang Yu and Dehui Wang and Xia Chen Large and Moderate Deviations for the Total Population Arising from a Sub-critical Galton--Watson Process with Immigration . . . . . . . . . . . . . . 41--67 Takashi Kumagai and Chikara Nakamura Lamplighter Random Walks on Fractals . . 68--92 C. E. González-Guillén and C. Palazuelos and I. Villanueva Euclidean Distance Between Haar Orthogonal and Gaussian Matrices . . . . 93--118 Shiqiu Zheng and Shoumei Li On the Representation for Dynamically Consistent Nonlinear Evaluations: Uniformly Continuous Case . . . . . . . 119--158 Robin Stephenson Local Convergence of Large Critical Multi-type Galton--Watson Trees and Applications to Random Maps . . . . . . 159--205 Andreas Neuenkirch and Peter Parczewski Optimal Approximation of Skorohod Integrals . . . . . . . . . . . . . . . 206--231 Peggy Cénac and Arnaud Le Ny and Basile de Loynes and Yoann Offret Persistent Random Walks. I. Recurrence Versus Transience . . . . . . . . . . . 232--243 Steven D. Hoehner and Carsten Schütt and Elisabeth M. Werner The Surface Area Deviation of the Euclidean Ball and a Polytope . . . . . 244--267 Kai Lee Generation and Motion of Interfaces in One-Dimensional Stochastic Allen--Cahn Equation . . . . . . . . . . . . . . . . 268--293 Lulu Fang and Min Wu and Lei Shang Large and Moderate Deviation Principles for Engel Continued Fractions . . . . . 294--318 Arnaud Gloter and Miguel Martinez Bouncing Skew Brownian Motions . . . . . 319--363 Martin Heida and Matthias Röger Large deviation principle for a stochastic Allen--Cahn equation . . . . 364--401 Yuriy Nemish No Outliers in the Spectrum of the Product of Independent Non--Hermitian Random Matrices with Independent Entries 402--444 Soledad Torres and Ciprian A. Tudor The Multifractal Random Walk as Pathwise Stochastic Integral: Construction and Simulation . . . . . . . . . . . . . . . 445--465 Krzysztof Burdzy and Tvrtko Tadi\'c Random Reflections in a High-Dimensional Tube . . . . . . . . . . . . . . . . . . 466--493 D. A. Dawson and L. G. Gorostiza Transience and Recurrence of Random Walks on Percolation Clusters in an Ultrametric Space . . . . . . . . . . . 494--526 Iosif Pinelis Positive-part moments via characteristic functions, and more general expressions 527--555 Fang Han An Exponential Inequality for $U$-Statistics Under Mixing Conditions 556--578 K. Debicki and K. M. Kosi\'nski An Erd\Hos--Révész Type Law of the Iterated Logarithm for Order Statistics of a Stationary Gaussian Process . . . . 579--597 Peter Kern and Mark M. Meerschaert and Yimin Xiao Asymptotic Behavior of Semistable Lévy Exponents and Applications to Fractal Path Properties . . . . . . . . . . . . 598--617
Hua-Ming Wang Law of Large Numbers for Random Walk with Unbounded Jumps and Birth and Death Process with Bounded Jumps in Random Environment . . . . . . . . . . . . . . 619--642 Ruoting Gong and Christian Houdré and Jüri Lember Lower Bounds on the Generalized Central Moments of the Optimal Alignments Score of Random Sequences . . . . . . . . . . 643--683 Sergey Foss and Takis Konstantopoulos and Thomas Mountford Power Law Condition for Stability of Poisson Hail . . . . . . . . . . . . . . 684--704 Alka Chadha and Dwijendra N. Pandey Approximate Controllability of a Neutral Stochastic Fractional Integro--Differential Inclusion with Nonlocal Conditions . . . . . . . . . . 705--740 Masayoshi Takeda The Bottom of the Spectrum of Time-Changed Processes and the Maximum Principle of Schrödinger Operators . . . 741--756 Romain Abraham and Jean-François Delmas and Hongsong Guo Critical Multi-type Galton--Watson Trees Conditioned to be Large . . . . . . . . 757--788 Franco Flandoli and Francesco Russo and Giovanni Zanco Infinite-Dimensional Calculus Under Weak Spatial Regularity of the Processes . . 789--826 Martin Grothaus and Robert Voßhall Strong Feller Property of Sticky Reflected Distorted Brownian Motion . . 827--852 Luísa Pereira On the Asymptotic Locations of the Largest and Smallest Extremes of a Stationary Sequence . . . . . . . . . . 853--866 C. A. Fonseca-Mora Existence of Continuous and C\`adl\`ag Versions for Cylindrical Processes in the Dual of a Nuclear Space . . . . . . 867--894 Robert Knobloch One-Sided FKPP Travelling Waves for Homogeneous Fragmentation Processes . . 895--931 Anja Sturm and Jan M. Swart Pathwise Duals of Monotone and Additive Markov Processes . . . . . . . . . . . . 932--983 Li Wang Central Limit Theorems for Supercritical Superprocesses with Immigration . . . . 984--1012 Julian Tugaut Exit-Problem of McKean--Vlasov Diffusions in Double-Well Landscape . . 1013--1023 A. Lytova Central Limit Theorem for Linear Eigenvalue Statistics for a Tensor Product Version of Sample Covariance Matrices . . . . . . . . . . . . . . . . 1024--1057 W. van Zuijlen Large Deviations of Continuous Regular Conditional Probabilities . . . . . . . 1058--1096 János Engländer and Stanislav Volkov Turning a Coin over Instead of Tossing It . . . . . . . . . . . . . . . . . . . 1097--1118 José Luís da Silva and Mohamed Erraoui and El Hassan Essaky Mixed Stochastic Differential Equations: Existence and Uniqueness Result . . . . 1119--1141 Gauthier Dierickx and Uwe Einmahl A General Darling--Erd\Hos Theorem in Euclidean Space . . . . . . . . . . . . 1142--1165 Xinxin Chen and Xiaolin Zeng Speed of Vertex-Reinforced Jump Process on Galton--Watson Trees . . . . . . . . 1166--1211 Nguyen Van Quang and Do The Son and Le Hong Son Some Kinds of Uniform Integrability and Laws of Large Numbers in Noncommutative Probability . . . . . . . . . . . . . . 1212--1234
Zhiyi Chi On a Multivariate Strong Renewal Theorem 1235--1272 Kamil Jurczak Weak Convergence of the Empirical Spectral Distribution of High--Dimensional Band Sample Covariance Matrices . . . . . . . . . . . . . . . . 1273--1302 Steven N. Evans and Ilya Molchanov Polar Decomposition of Scale-Homogeneous Measures with Application to Lévy Measures of Strictly Stable Laws . . . . 1303--1321 Yi Zhang On the Nonexplosion and Explosion for Nonhomogeneous Markov Pure Jump Processes . . . . . . . . . . . . . . . 1322--1355 Lu Xu A Central Limit Theorem for Stochastic Heat Equations in Random Environment . . 1356--1379 Kôhei Uchiyama The Transition Density of Brownian Motion Killed on a Bounded Set . . . . . 1380--1410 Jeffrey Kuan Two Constructions of Markov Chains on the Dual of $ U(n) $ . . . . . . . . . . 1411--1428 Kamran Kalbasi and Thomas S. Mountford and Frederi G. Viens Anderson Polymer in a Fractional Brownian Environment: Asymptotic Behavior of the Partition Function . . . 1429--1468 Shen Lin Typical Behavior of the Harmonic Measure in Critical Galton--Watson Trees with Infinite Variance Offspring Distribution 1469--1511 Timo Hirscher and Anders Martinsson Segregating Markov Chains . . . . . . . 1512--1538 Raghid Zeineddine Asymptotic Behavior of Weighted Power Variations of Fractional Brownian Motion in Brownian Time . . . . . . . . . . . . 1539--1589 Ben Berckmoes and Geert Molenberghs Approximate Central Limit Theorems . . . 1590--1605 Hac\`ene Djellout and Hui Jiang Large Deviations of the Threshold Estimator of Integrated (Co-)Volatility Vector in the Presence of Jumps . . . . 1606--1624 Kai Liu Sensitivity to Small Delays of Pathwise Stability for Stochastic Retarded Evolution Equations . . . . . . . . . . 1625--1646 Kavita Ramanan and Aaron Smith Bounds on Lifting Continuous-State Markov Chains to Speed Up Mixing . . . . 1647--1678 Guillaume Copros Existence Condition of Strong Stationary Times for Continuous Time Markov Chains on Discrete Graphs . . . . . . . . . . . 1679--1728 Marie Kratz and Sreekar Vadlamani Central Limit Theorem for Lipschitz--Killing Curvatures of Excursion Sets of Gaussian Random Fields 1729--1758 Luc Deleaval and Nizar Demni Moments of the Hermitian Matrix Jacobi Process . . . . . . . . . . . . . . . . 1759--1778 Amarjit Budhiraja and Wai-Tong (Louis) Fan and Ruoyu Wu Large Deviations for Brownian Particle Systems with Killing . . . . . . . . . . 1779--1818 Mikhail V. Menshikov and Dimitri Petritis and Andrew R. Wade Heavy-Tailed Random Walks on Complexes of Half--Lines . . . . . . . . . . . . . 1819--1859 Sheng Jun Fan Existence, Uniqueness and Stability of $ L^1 $ Solutions for Multidimensional Backward Stochastic Differential Equations with Generators of One-Sided Osgood Type . . . . . . . . . . . . . . 1860--1899 Vyacheslav M. Abramov Conservative and Semiconservative Random Walks: Recurrence and Transience . . . . 1900--1922
Lifeng Xu and Shaoyi Zhang and Ren Zhang A Note on Foster--Lyapunov Drift Condition for Recurrence of Markov Chains on General State Spaces . . . . . 1923--1928 Rafik Aguech and Anis Amri and Henning Sulzbach On Weighted Depths in Random Binary Search Trees . . . . . . . . . . . . . . 1929--1951 Hui He and Zenghu Li and Wei Xu Continuous-State Branching Processes in Lévy Random Environments . . . . . . . . 1952--1974 L. Avena and A. Gaudilli\`ere Two Applications of Random Spanning Forests . . . . . . . . . . . . . . . . 1975--2004 Mihai N. Pascu and Ionel Popescu Couplings of Brownian Motions of Deterministic Distance in Model Spaces of Constant Curvature . . . . . . . . . 2005--2031 Pavel Yaskov LLN for Quadratic Forms of Long Memory Time Series and Its Applications in Random Matrix Theory . . . . . . . . . . 2032--2055 Peter J. Forrester and Santosh Kumar The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices . . . . . . . 2056--2071 Li Li Phase Transition for Accessibility Percolation on Hypercubes . . . . . . . 2072--2111 Timber Kerkvliet and Ronald Meester A Behavioral Interpretation of Belief Functions . . . . . . . . . . . . . . . 2112--2128 Minjung Gim and Gerald Trutnau Recurrence Criteria for Generalized Dirichlet Forms . . . . . . . . . . . . 2129--2166 Bernhard G. Bodmann and Martin Ehler and Manuel Gräf From Low- to High--Dimensional Moments Without Magic . . . . . . . . . . . . . 2167--2193 Chunhao Cai and Bo Li Occupation Times of Intervals Until Last Passage Times for Spectrally Negative Lévy Processes . . . . . . . . . . . . . 2194--2215 Raluca M. Balan and Le Chen Parabolic Anderson Model with Space--Time Homogeneous Gaussian Noise and Rough Initial Condition . . . . . . 2216--2265 Gerold Alsmeyer and Fabian Buckmann Fluctuation Theory for Markov Random Walks . . . . . . . . . . . . . . . . . 2266--2342 Xiaofeng Xue Asymptotic of the Critical Value of the Large--Dimensional SIR Epidemic on Clusters . . . . . . . . . . . . . . . . 2343--2365 Michel Ledoux A Law of the Iterated Logarithm for Directed Last Passage Percolation . . . 2366--2375 Gérard Letac and Mauro Piccioni Random Walks in the Hyperbolic Plane and the Minkowski Question Mark Function . . 2376--2389 Sergey G. Bobkov Central Limit Theorem and Diophantine Approximations . . . . . . . . . . . . . 2390--2411 Xiaochuan Yang Hausdorff Dimension of the Range and the Graph of Stable-Like Processes . . . . . 2412--2431 P. Vellaisamy and V. Cekanavicius Infinitely Divisible Approximations for Sums of $m$-Dependent Random Variables 2432--2445 Werner Kirsch and Thomas Kriecherbauer Semicircle Law for Generalized Curie--Weiss Matrix Ensembles at Subcritical Temperature . . . . . . . . 2446--2458
Arno Berger and Chuang Xu Best Finite Approximations of Benford's Law . . . . . . . . . . . . . . . . . . ??
Nicholas M. Ercolani and Sabine Jansen and Daniel Ueltschi Singularity Analysis for Heavy-Tailed Random Variables . . . . . . . . . . . . 1--46 Tadeusz Banek and Patrycja Jedrzejewska and August M. Zapala Limit Distribution of the Banach Random Walk . . . . . . . . . . . . . . . . . . 47--63 Tom Alberts and Jeremy Clark Nested Critical Points for a Directed Polymer on a Disordered Diamond Lattice 64--89 Hatem Hajri and Marc Arnaudon On a Coupling of Solutions to the Interface Stochastic Differential Equation on a Star Graph . . . . . . . . 90--105 Van Hao Can Exponential Extinction Time of the Contact Process on Rank-One Inhomogeneous Random Graphs . . . . . . 106--130 E. Löcherbach Large Deviations for Cascades of Diffusions Arising in Oscillating Systems of Interacting Hawkes Processes 131--162 Aleksandr V. Kalinkin and Anton V. Mastikhin On the Separating Variables Method for Markov Death-Process Equations . . . . . 163--182 Qingpei Zang and Lixin Zhang Asymptotic Behaviour of the Trajectory Fitting Estimator for Reflected Ornstein--Uhlenbeck Processes . . . . . 183--201 Yasaman Maleki Optimal Scale Invariant Wigner Spectrum Estimation of Gaussian Locally Self-Similar Processes Using Hermite Functions . . . . . . . . . . . . . . . 202--215 Monia Karouf Reflected and Doubly Reflected Backward Stochastic Differential Equations with Time-Delayed Generators . . . . . . . . 216--248 Vincent Bansaye Ancestral Lineages and Limit Theorems for Branching Markov Chains in Varying Environment . . . . . . . . . . . . . . 249--281 Thomas Mountford and Glauco Valle Exponential Convergence for the Fredrickson--Andersen One-Spin Facilitated Model . . . . . . . . . . . 282--302 Xing Huang and Shao-Qin Zhang Mild Solutions and Harnack Inequality for Functional Stochastic Partial Differential Equations with Dini Drift 303--329 Endre Csáki and Miklós Csörg\Ho and Antónia Földes and Pál Révész Limit Theorems for Local and Occupation Times of Random Walks and Brownian Motion on a Spider . . . . . . . . . . . 330--352 Tiefeng Jiang and Yongcheng Qi Empirical Distributions of Eigenvalues of Product Ensembles . . . . . . . . . . 353--394 Peng Luo and Falei Wang Viability for Stochastic Differential Equations Driven by $G$-Brownian Motion 395--416 Evita Nestoridi and Graham White Shuffling Large Decks of Cards and the Bernoulli--Laplace Urn Model . . . . . . 417--446 Masaki Wada Ergodic-Type Limit Theorem for Fundamental Solutions of Critical Schrödinger Operators . . . . . . . . . . 447--459 Lin Lin and Hongjun Gao A Stochastic Generalized Ginzburg--Landau Equation Driven by Jump Noise . . . . . . . . . . . . . . . . . 460--483 Alexander C. R. Belton On Stopping Fock-Space Processes . . . . 484--526 Muhammed Uludag and Hakan Ayral A Subtle Symmetry of Lebesgue's Measure 527--540 Vyacheslav M. Abramov Correction to: Conservative and Semiconservative Random Walks: Recurrence and Transience . . . . . . . 541--543
Andrey Sarantsev Comparison Techniques for Competing Brownian Particles . . . . . . . . . . . 545--585 Tadeusz Banek and August M. Zapa\la Random Walk in Balls and an Extension of the Banach Integral in Abstract Spaces 586--607 Artemi Berlinkov and Esa Järvenpää Porosities of Mandelbrot Percolation . . 608--632 Peggy Cénac and Arnaud Le Ny and Basile de Loynes and Yoann Offret Persistent Random Walks. II. Functional Scaling Limits . . . . . . . . . . . . . 633--658 Shi-Yi Lan and Wang Zhou Random Conformal Welding for Finitely Connected Regions . . . . . . . . . . . 659--683 Balázs Gerencsér and Julien M. Hendrickx Improved Mixing Rates of Directed Cycles by Added Connection . . . . . . . . . . 684--701 Marc Kesseböhmer and Tanja Schindler Strong Laws of Large Numbers for Intermediately Trimmed Sums of i.i.d. Random Variables with Infinite Mean . . 702--720 Yonghong Liu and Yongxiang Mo Chung's Functional Law of the Iterated Logarithm for Increments of a Fractional Brownian Motion . . . . . . . . . . . . 721--736 Ante Mimica and Stjepan Sebek Harnack Inequality for Subordinate Random Walks . . . . . . . . . . . . . . 737--764 R. Le Guével The Hausdorff dimension of the range of the Lévy multistable processes . . . . . 765--780 Erik Bakken and David Weisbart Continuous Time $p$-Adic Random Walks and Their Path Integrals . . . . . . . . 781--805 Yoshimichi Ueda Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence . . . . . . . . . . . . . . 806--847 Jianhai Bao and Xing Huang and Chenggui Yuan Convergence Rate of Euler--Maruyama Scheme for SDEs with Hölder--Dini Continuous Drifts . . . . . . . . . . . 848--871 Peter Eichelsbacher and Matthias Löwe Lindeberg's Method for Moderate Deviations and Random Summation . . . . 872--897 Miklós Z. Rácz and Jacob Richey A Smooth Transition from Wishart to GOE 898--906 Yosuke Kawamoto and Hirofumi Osada Dynamical Bulk Scaling Limit of Gaussian Unitary Ensembles and Stochastic Differential Equation Gaps . . . . . . . 907--933 Leonid V. Rozovsky Small Ball Probabilities for Certain Gaussian Random Fields . . . . . . . . . 934--949 James Thompson Derivatives of Feynman--Kac Semigroups 950--973 Valentin Bahier On the Number of Eigenvalues of Modified Permutation Matrices in Mesoscopic Intervals . . . . . . . . . . . . . . . 974--1022 Jiagang Ren and Hua Zhang Regularity of the Law of Stochastic Differential Equations with Jumps Under Hörmander's Conditions: The Lent Particle Method . . . . . . . . . . . . . . . . . 1023--1050 Jiaoyang Huang Asymptotic Expansion of Spherical Integral . . . . . . . . . . . . . . . . 1051--1075 Sean O'Rourke and Philip Matchett Wood Low-Degree Factors of Random Polynomials 1076--1104
Daniel Harnett and Arturo Jaramillo and David Nualart Symmetric Stochastic Integrals with Respect to a Class of Self-similar Gaussian Processes . . . . . . . . . . . 1105--1144 Axel Bücher and Ivan Kojadinovic A Note on Conditional Versus Joint Unconditional Weak Convergence in Bootstrap Consistency Results . . . . . 1145--1165 Julien Fageot and Michael Unser Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Lévy White Noises . . . . . . . . . . 1166--1189 Jingjun Guo and Yaozhong Hu and Yanping Xiao Higher-Order Derivative of Intersection Local Time for Two Independent Fractional Brownian Motions . . . . . . 1190--1201 Adam Barker Fractal-Dimensional Properties of Subordinators . . . . . . . . . . . . . 1202--1219 Florent Benaych-Georges and Nathanaël Enriquez and Alkéos Micha\"\il Empirical Spectral Distribution of a Matrix Under Perturbation . . . . . . . 1220--1251 Clément Dombry and Michael Falk and Maximilian Zott On Functional Records and Champions . . 1252--1277 A. Maheshwari and P. Vellaisamy Fractional Poisson Process Time-Changed by Lévy Subordinator and Its Inverse . . 1278--1305 David Criens Cylindrical Martingale Problems Associated with Lévy Generators . . . . . 1306--1359 Xiliang Fan Derivative Formulas and Applications for Degenerate Stochastic Differential Equations with Fractional Noises . . . . 1360--1381 Chen Jia Sharp Moderate Maximal Inequalities for Upward Skip-Free Markov Chains . . . . . 1382--1398 Zhi Li and Litan Yan Ergodicity and Stationary Solution for Stochastic Neutral Retarded Partial Differential Equations Driven by Fractional Brownian Motion . . . . . . . 1399--1419 Khanh Duy Trinh Global Spectrum Fluctuations for Gaussian Beta Ensembles: A Martingale Approach . . . . . . . . . . . . . . . . 1420--1437 Alperen Y. Özdemir The Random $ (n - k)$-Cycle to Transpositions Walk on the Symmetric Group . . . . . . . . . . . . . . . . . 1438--1460 Nicolas Privault Third Cumulant Stein Approximation for Poisson Stochastic Integrals . . . . . . 1461--1481 Giovanni Puccetti and Pietro Rigo and Bin Wang and Ruodu Wang Centers of probability measures without the mean . . . . . . . . . . . . . . . . 1482--1501 Safari Mukeru Average Number of Real Zeros of Random Algebraic Polynomials Defined by the Increments of Fractional Brownian Motion 1502--1524 Arno Berger and Chuang Xu Best Finite Approximations of Benford's Law . . . . . . . . . . . . . . . . . . 1525--1553 K. K. Kataria and P. Vellaisamy On Distributions of Certain State-Dependent Fractional Point Processes . . . . . . . . . . . . . . . 1554--1580 Long Bai and Peng Liu Drawdown and Drawup for Fractional Brownian Motion with Trend . . . . . . . 1581--1612 Yosuke Kawamoto and Hirofumi Osada Correction to: Dynamical Bulk Scaling Limit of Gaussian Unitary Ensembles and Stochastic Differential Equation Gaps 1613--1613 J. F. C. Kingman and S. E. Volkov Correction to: Solution to the OK Corral Model via Decoupling of Friedman's Urn 1614--1615
Litan Yan and Xianye Yu Asymptotic Behavior for High Moments of the Fractional Heat Equation with Fractional Noise . . . . . . . . . . . . 1617--1646 Deng Zhang Gaussian Fluctuations and Moderate Deviations of Eigenvalues in Unitary Invariant Ensembles . . . . . . . . . . 1647--1687 Ke Jin The Limit of the Empirical Measure of the Product of Two Independent Mallows Permutations . . . . . . . . . . . . . . 1688--1728 James T. Murphy III Exact Coupling of Random Walks on Polish Groups . . . . . . . . . . . . . . . . . 1729--1745 Tomonori Nakatsu Some Properties of Density Functions on Maxima of Solutions to One--Dimensional Stochastic Differential Equations . . . 1746--1779 Bilel Kacem Ben Ammou and Alberto Lanconelli Rate of Convergence for Wong--Zakai-Type Approximations of Itô Stochastic Differential Equations . . . . . . . . . 1780--1803 C. Y. Amy Pang Lumpings of Algebraic Markov Chains Arise from Subquotients . . . . . . . . 1804--1844 Riccardo Passeggeri and Almut E. D. Veraart Mixing Properties of Multivariate Infinitely Divisible Random Fields . . . 1845--1879 Theodoros Assiotis Intertwinings for General $ \beta $-Laguerre and $ \beta $-Jacobi Processes . . . . . . . . . . . . . . . 1880--1891 Olivier Menoukeu-Pamen and Youssef Ouknine and Ludovic Tangpi Pathwise Uniqueness of Non-uniformly Elliptic SDEs with Rough Coefficients 1892--1908 Jan Schneider and Roman Urban Lévy Subordinators in Cones of Fuzzy Sets 1909--1924 Palle Jorgensen and Feng Tian Realizations and Factorizations of Positive Definite Kernels . . . . . . . 1925--1942 Bo Li and Yimin Xiao and Xiaochuan Yang On the Favorite Points of Symmetric Lévy Processes . . . . . . . . . . . . . . . 1943--1972 Kiyoiki Hoshino and Tetsuya Kazumi On the Identification of Noncausal Wiener Functionals from the Stochastic Fourier Coefficients . . . . . . . . . . 1973--1989 Konstantin Tikhomirov and Pierre Youssef On the norm of a random jointly exchangeable matrix . . . . . . . . . . 1990--2005 Masayoshi Takeda Existence and Uniqueness of Quasi-stationary Distributions for Symmetric Markov Processes with Tightness Property . . . . . . . . . . . 2006--2019 János Engländer and Stanislav Volkov Impatient Random Walk . . . . . . . . . 2020--2043 Fabien Montégut Double Asymptotic for Random Walks on Hypercubes . . . . . . . . . . . . . . . 2044--2065 Jian Wang Compactness and Density Estimates for Weighted Fractional Heat Semigroups . . 2066--2087 Pastorel Gaspar On Random Normal Operators and Their Spectral Measures . . . . . . . . . . . 2088--2110 Giovanni Conforti and Tetiana Kosenkova and Sylvie Roelly Conditioned Point Processes with Application to Lévy Bridges . . . . . . . 2111--2134 Maurizia Rossi The Defect of Random Hyperspherical Harmonics . . . . . . . . . . . . . . . 2135--2165
Margaryta Myronyuk Independent Linear Forms on the Group $ \Omega_p $ . . . . . . . . . . . . . . . 1--21 Jackson Loper Uniform Ergodicity for Brownian Motion in a Bounded Convex Set . . . . . . . . 22--35 Antoine-Marie Bogso Mean Residual Life Processes and Associated Submartingales . . . . . . . 36--64 Günter Hinrichs and Martin Kolb and Vitali Wachtel Persistence of One-Dimensional AR(1)-Sequences . . . . . . . . . . . . 65--102 Hendrik Flasche and Zakhar Kabluchko Real Zeroes of Random Analytic Functions Associated with Geometries of Constant Curvature . . . . . . . . . . . . . . . 103--133 K. J. Falconer and J. Lévy Véhel Self-Stabilizing Processes Based on Random Signs . . . . . . . . . . . . . . 134--152 Tomasz Luks and Yimin Xiao Multiple Points of Operator Semistable Lévy Processes . . . . . . . . . . . . . 153--179 Julien Fageot and Michael Unser and John Paul Ward The $n$-term Approximation of Periodic Generalized Lévy Processes . . . . . . . 180--200 Yulin Song Gradient Estimates and Exponential Ergodicity for Mean-Field SDEs with Jumps . . . . . . . . . . . . . . . . . 201--238 Nikita Ratanov Kac--Lévy Processes . . . . . . . . . . . 239--267 Vitonofrio Crismale and Maria Elena Griseta and Janusz Wysocza\'nski Weakly Monotone Fock Space and Monotone Convolution of the Wigner Law . . . . . 268--294 Aurélien Deya Integration with Respect to the Hermitian Fractional Brownian Motion . . 295--318 Chunsheng Ma and Anatoliy Malyarenko Time-Varying Isotropic Vector Random Fields on Compact Two-Point Homogeneous Spaces . . . . . . . . . . . . . . . . . 319--339 Michael Spece and Joseph B. Kadane Prime Residue Class of Uniform Charges on the Integers . . . . . . . . . . . . 340--360 Anthony G. Pakes Self-Decomposable Laws from Continuous Branching Processes . . . . . . . . . . 361--395 Anna Vidotto An Improved Second-Order Poincaré Inequality for Functionals of Gaussian Fields . . . . . . . . . . . . . . . . . 396--427 Cambyse Pakzad Large Deviations Principle for the Largest Eigenvalue of the Gaussian $ \beta $-Ensemble at High Temperature . . 428--443 Krzysztof D\kebicki and Enkelejd Hashorva Approximation of Supremum of Max-Stable Stationary Processes and Pickands Constants . . . . . . . . . . . . . . . 444--464 Robert E. Gaunt Wasserstein and Kolmogorov Error Bounds for Variance-Gamma Approximation via Stein's Method I . . . . . . . . . . . . 465--505 János Engländer A Generalization of the Submartingale Property: Maximal Inequality and Applications to Various Stochastic Processes . . . . . . . . . . . . . . . 506--521
Yacine Barhoumi-Andréani A Penalised Model Reproducing the Mod-Poisson Fluctuations in the Sathé--Selberg Theorem . . . . . . . . . 567--589 Benjamin Dadoun Self-similar Growth Fragmentations as Scaling Limits of Markov Branching Processes . . . . . . . . . . . . . . . 590--610 Benjamin Gess and Cheng Ouyang and Samy Tindel Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough Paths . . . . . . . . . . 611--648 C. A. Fonseca-Mora Lévy Processes and Infinitely Divisible Measures in the Dual of a Nuclear Space 649--691 Kevin Tanguy Talagrand Inequality at Second Order and Application to Boolean Analysis . . . . 692--714 Zhiyi Chi Law of the First Passage Triple of a Spectrally Positive Strictly Stable Process . . . . . . . . . . . . . . . . 715--748 Xiequan Fan and Ion Grama and Quansheng Liu Cramér Moderate Deviation Expansion for Martingales with One-Sided Sakhanenko's Condition and Its Applications . . . . . 749--787 James Kuelbs and Joel Zinn Limits for Partial Maxima of Gaussian Random Vectors . . . . . . . . . . . . . 788--827 Christophe Garban and Hao Wu On the Convergence of FK--Ising Percolation to $ \mathrm {SLE}(16 / 3, (16 / 3) - 6) $ . . . . . . . . . . . . 828--865 David Criens Limit Theorems for Cylindrical Martingale Problems Associated with Lévy Generators . . . . . . . . . . . . . . . 866--905 Florian Hildebrandt and Sylvie Roelly Pinned Diffusions and Markov Bridges . . 906--917 Günter Last An Integral Characterization of the Dirichlet Process . . . . . . . . . . . 918--930 Mohamed Erraoui and Astrid Hilbert and Mohammed Louriki Bridges with Random Length: Gamma Case 931--953 Denis Villemonais Lower Bound for the Coarse Ricci Curvature of Continuous-Time Pure-Jump Processes . . . . . . . . . . . . . . . 954--991 Réka Szabó and Daniel Valesin Inhomogeneous Percolation on Ladder Graphs . . . . . . . . . . . . . . . . . 992--1010 Lo\"\ic Chaumont and Ron Doney On Distributions Determined by Their Upward, Space--Time Wiener--Hopf Factor 1011--1033 F. Iafrate and E. Orsingher Some Results on the Brownian Meander with Drift . . . . . . . . . . . . . . . 1034--1060 Raluca M. Balan and Becem Saidani Stable Lévy Motion with Values in the Skorokhod Space: Construction and Approximation . . . . . . . . . . . . . 1061--1110 Kathryn Stewart Total Variation Approximation of Random Orthogonal Matrices by Gaussian Matrices 1111--1143 Michael C. H. Choi and Lu-Jing Huang On Hitting Time, Mixing Time and Geometric Interpretations of Metropolis--Hastings Reversiblizations 1144--1163
Héctor Araya and Jorge A. León and Soledad Torres Numerical Scheme for Stochastic Differential Equations Driven by Fractional Brownian Motion with $ 1 / 4 < H < 1 / 2 $ . . . . . . . . . . . . . . . 1211--1237 Magda Peligrad and Dalibor Volný Quenched Invariance Principles for Orthomartingale-Like Sequences . . . . . 1238--1265 Wenqing Hu On the Long-Time Behavior of a Perturbed Conservative System with Degeneracy . . 1266--1295 Kôhei Uchiyama Scaling Limits of Random Walk Bridges Conditioned to Avoid a Finite Set . . . 1296--1326 F. Götze and A. Naumov and A. Tikhomirov Local Semicircle Law Under Fourth Moment Condition . . . . . . . . . . . . . . . 1327--1362 Hiroaki Yoshida Remarks on a Free Analogue of the Beta Prime Distribution . . . . . . . . . . . 1363--1400 Zhonggen Su and Hanchao Wang A Donsker-Type Theorem for Log-Likelihood Processes . . . . . . . . 1401--1425 Zsófia Talyigás and Bálint Vet\Ho Borodin--Péché Fluctuations of the Free Energy in Directed Random Polymer Models 1426--1444 Fang Han and Yicheng Li Moment Bounds for Large Autocovariance Matrices Under Dependence . . . . . . . 1445--1492 A. Kuznetsov On Free Regular and Bondesson Convolution Semigroups . . . . . . . . . 1493--1505 Benjamin Tsou The Distribution of Permutation Matrix Entries Under Randomized Basis . . . . . 1506--1522 James Thompson Functional Inequalities for Feynman--Kac Semigroups . . . . . . . . . . . . . . . 1523--1540 Natalie Coston and Sean O'Rourke Gaussian Fluctuations for Linear Eigenvalue Statistics of Products of Independent iid Random Matrices . . . . 1541--1612 Wolfhard Hansen and Ivan Netuka Nearly Hyperharmonic Functions are Infima of Excessive Functions . . . . . 1613--1629 Tianshi Lu and Chunsheng Ma Isotropic Covariance Matrix Functions on Compact Two-Point Homogeneous Spaces . . 1630--1656 Wilfried Huss and Ecaterina Sava-Huss Range and Speed of Rotor Walks on Trees 1657--1690 Jan Gairing and Peter Imkeller and Radomyra Shevchenko and Ciprian Tudor Hurst Index Estimation in Stochastic Differential Equations Driven by Fractional Brownian Motion . . . . . . . 1691--1714 Isabelle Baraquin Random Walks on Finite Quantum Groups 1715--1736 Zuopeng Fu and Yizao Wang Stable Processes with Stationary Increments Parameterized by Metric Spaces . . . . . . . . . . . . . . . . . 1737--1754 Jasdeep Kalsi Existence of Invariant Measures for Reflected Stochastic Partial Differential Equations . . . . . . . . . 1755--1767
Chang-Song Deng Subgeometric Rates of Convergence for Discrete-Time Markov Chains Under Discrete-Time Subordination . . . . . . 522--532 Yinzheng Gu and Takahiro Hasebe and Paul Skoufranis Bi-monotonic Independence for Pairs of Algebras . . . . . . . . . . . . . . . . 533--566
Arno Berger and Chuang Xu Asymptotics of One-Dimensional Lévy Approximations . . . . . . . . . . . . . 1164--1195 Kumi Yasuda Large Deviations for Scaled Sums of $p$-Adic-Valued Rotation-Symmetric Independent and Identically Distributed Random Variables . . . . . . . . . . . . 1196--1210
Elizaveta Rebrova Constructive Regularization of the Random Matrix Norm . . . . . . . . . . . 1768--1790 David Criens Correction to: Cylindrical Martingale Problems Associated with Lévy Generators 1791--1800
Danijel Grahovac and Nikolai N. Leonenko and Murad S. Taqqu The Multifaceted Behavior of Integrated supOU Processes: The Infinite Variance Case . . . . . . . . . . . . . . . . . . 1801--1831 Subhajit Ghosh Total Variation Cutoff for the Transpose Top-2 with Random Shuffle . . . . . . . 1832--1854 Xinyi Li Percolative Properties of Brownian Interlacements and Its Vacant Set . . . 1855--1893 Zaoli Chen and Gennady Samorodnitsky Extreme Value Theory for Long-Range-Dependent Stable Random Fields . . . . . . . . . . . . . . . . . 1894--1918 Nicholas Ma and David Nualart Rate of Convergence for the Weighted Hermite Variations of the Fractional Brownian Motion . . . . . . . . . . . . 1919--1947 Naoki Kubota Continuity for the Rate Function of the Simple Random Walk on Supercritical Percolation Clusters . . . . . . . . . . 1948--1973 Yuguang Ipsen and Ross Maller and Soudabeh Shemehsavar Limiting Distributions of Generalised Poisson--Dirichlet Distributions Based on Negative Binomial Processes . . . . . 1974--2000 Werner Kirsch and Gabor Toth Two Groups in a Curie--Weiss Model with Heterogeneous Coupling . . . . . . . . . 2001--2026 Péter Kevei and Dalia Terhesiu Darling--Kac Theorem for Renewal Shifts in the Absence of Regular Variation . . 2027--2060 Alessandra Cipriani and Jan de Graaff and Wioletta M. Ruszel Scaling Limits in Divisible Sandpiles: A Fourier Multiplier Approach . . . . . . 2061--2088 Anyue Chen Resolvent Decomposition Theorems and Their Application in Denumerable Markov Processes with Instantaneous States . . 2089--2118 Krzysztof D\kebicki and Peng Liu and Zbigniew Michna Sojourn Times of Gaussian Processes with Trend . . . . . . . . . . . . . . . . . 2119--2166 Jonathan Hermon A Spectral Characterization for Concentration of the Cover Time . . . . 2167--2184 Yongcheng Qi and Mengzi Xie Spectral Radii of Products of Random Rectangular Matrices . . . . . . . . . . 2185--2212 Hyunchul Park and Yimin Xiao and Xiaochuan Yang Uniform Dimension Results for the Inverse Images of Symmetric Lévy Processes . . . . . . . . . . . . . . . 2213--2232 Endre Csáki and Antónia Földes Random Walks on Comb-Type Subsets of $ \mathbb {Z}^2 $ . . . . . . . . . . . . 2233--2257 Zhongquan Tan and Shengchao Zheng Extremes of a Type of Locally Stationary Gaussian Random Fields with Applications to Shepp Statistics . . . . . . . . . . 2258--2279 E. Löcherbach Convergence to Equilibrium for Time-Inhomogeneous Jump Diffusions with State-Dependent Jump Intensity . . . . . 2280--2314 Inna M. Asymont and Dmitry Korshunov Strong Law of Large Numbers for a Function of the Local Times of a Transient Random Walk in $ \mathbb {Z}^d $ . . . . . . . . . . . . . . . . . . . 2315--2336 Pietro Rigo A Note on Duality Theorems in Mass Transportation . . . . . . . . . . . . . 2337--2350 Na Zhang and Lucas Reding and Magda Peligrad On the Quenched Central Limit Theorem for Stationary Random Fields Under Projective Criteria . . . . . . . . . . 2351--2379 Tiefeng Jiang and Junshan Xie Limiting Behavior of Largest Entry of Random Tensor Constructed by High-Dimensional Data . . . . . . . . . 2380--2400
Jüri Lember and Joonas Sova Regenerativity of Viterbi Process for Pairwise Markov Models . . . . . . . . . 1--33 Irina Ignatiouk-Robert Harmonic Functions of Random Walks in a Semigroup via Ladder Heights . . . . . . 34--80 Tyrone E. Duncan Theta Functions and Brownian Motion . . 81--89 Najmeddine Attia On the Multifractal Analysis of Branching Random Walk on Galton--Watson Tree with Random Metric . . . . . . . . 90--102 Xinwei Feng and Qi-Man Shao and Ofer Zeitouni Self-normalized Moderate Deviations for Random Walk in Random Scenery . . . . . 103--124 Guomin Liu Girsanov Theorem for $G$-Brownian Motion: The Degenerate Case . . . . . . 125--140 Ekaterina Vl. Bulinskaya Maximum of Catalytic Branching Random Walk with Regularly Varying Tails . . . 141--161 Liuyan Li and Junping Li Large Deviation Rates for Supercritical Branching Processes with Immigration . . 162--172 Leif Döring and Lukas Gonon and Oleg Reichmann Existence and Uniqueness Results for Time-Inhomogeneous Time-Change Equations and Fokker--Planck Equations . . . . . . 173--205 Steven T. Morrow An $ L^p $ Multiplicative Coboundary Theorem for Sequences of Unitriangular Random Matrices . . . . . . . . . . . . 206--213 Satoshi Yokoyama A Stochastically Perturbed Mean Curvature Flow by Colored Noise . . . . 214--240 Micha Buck Limit Theorems for Random Walks with Absorption . . . . . . . . . . . . . . . 241--263 Wenqing Ni and Zhenlong Chen Hausdorff Measure of the Range of Space-Time Anisotropic Gaussian Random Fields . . . . . . . . . . . . . . . . . 264--282 Wenyuan Wang and Xiaowen Zhou A Drawdown Reflected Spectrally Negative Lévy Process . . . . . . . . . . . . . . 283--306 Vytautas Kazakevicius Subadditive Ergodic Theorem for Double Sequences . . . . . . . . . . . . . . . 307--330 Vu T. N. Anh and Nguyen T. T. Hien and Vo T. H. Van The Marcinkiewicz--Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences . . . . . . . . . 331--348 Antal A. Járai and Minwei Sun Asymptotic Height Distribution in High-Dimensional Sandpiles . . . . . . . 349--362 Christophe Profeta Persistence and Exit Times for Some Additive Functionals of Skew Bessel Processes . . . . . . . . . . . . . . . 363--390 Benedikt Jahnel and Christof Külske Gibbsian Representation for Point Processes via Hyperedge Potentials . . . 391--417 Serguei Popov Conditioned Two-Dimensional Simple Random Walk: Green's Function and Harmonic Measure . . . . . . . . . . . . 418--437 Caio Alves and Rodrigo Ribeiro and Rémy Sanchis Preferential Attachment Random Graphs with Edge-Step Functions . . . . . . . . 438--476 Tomasz Kosmala and Markus Riedle Stochastic Integration with Respect to Cylindrical Lévy Processes by $p$-Summing Operators . . . . . . . . . . . . . . . 477--497
Ibrahim Dakaou and Abdoulaye Soumana Hima Large Deviations for Backward Stochastic Differential Equations Driven by $G$-Brownian Motion . . . . . . . . . . 499--521 Peng Jin Uniqueness in Law for Stable-Like Processes of Variable Order . . . . . . 522--552 Guilan Cao and Kai He Estimates of the Difference Between Two Probability Densities of Wiener Functionals and Its Application . . . . 553--579 H\`a Quang Minh Regularized Divergences Between Covariance Operators and Gaussian Measures on Hilbert Spaces . . . . . . . 580--643 Sakrani Samia Time-Changed Local Martingales Under Signed Measures . . . . . . . . . . . . 644--659 Falei Wang and Guoqiang Zheng Backward Stochastic Differential Equations Driven by $G$-Brownian Motion with Uniformly Continuous Generators . . 660--681 Miriana Cellupica and Barbara Pacchiarotti Pathwise Asymptotics for Volterra Type Stochastic Volatility Models . . . . . . 682--727 Enkelejd Hashorva and Yuliya Mishura and Georgiy Shevchenko Boundary Non-crossing Probabilities of Gaussian Processes: Sharp Bounds and Asymptotics . . . . . . . . . . . . . . 728--754 Ikkei Hotta and Sebastian Schleißinger Limits of Radial Multiple SLE and a Burgers--Loewner Differential Equation 755--783 Abram M. Kagan and Gábor J. Székely Calibrating Dependence Between Random Elements . . . . . . . . . . . . . . . . 784--790 Hui Jiang and Shaochen Wang and Wang Zhou Moderate Deviations for Extreme Eigenvalues of Real-Valued Sample Covariance Matrices . . . . . . . . . . 791--808 Haruna Okamura and Toshihiro Uemura On Symmetric Stable-Type Processes with Degenerate/Singular Lévy Densities . . . 809--826 Wujun Lv and Xing Huang Harnack and Shift Harnack Inequalities for Degenerate (Functional) Stochastic Partial Differential Equations with Singular Drifts . . . . . . . . . . . . 827--851 Toshiro Watanabe Two Hypotheses on the Exponential Class in the Class Of $O$-subexponential Infinitely Divisible Distributions . . . 852--873 Doudou Li and Vladimir Vatutin and Mei Zhang Subcritical Branching Processes in Random Environment with Immigration Stopped at Zero . . . . . . . . . . . . 874--896 Jens Grygierek Multivariate Normal Approximation for Functionals of Random Polytopes . . . . 897--922 Nathan Noiry Spectral Measures of Spiked Random Matrices . . . . . . . . . . . . . . . . 923--952 Jan Nagel A Functional CLT for Partial Traces of Random Matrices . . . . . . . . . . . . 953--974 Paavo Salminen and David Stenlund On Occupation Times of One-Dimensional Diffusions . . . . . . . . . . . . . . . 975--1011 Guolie Lan and Ze-Chun Hu and Wei Sun Products of Conditional Expectation Operators: Convergence and Divergence 1012--1028 David Applebaum and Rosemary Shewell Brockway $ L^2 $ Properties of Lévy Generators on Compact Riemannian Manifolds . . . . . . 1029--1042 Malin P. Forsström and Jeffrey E. Steif An Analysis of the Induced Linear Operators Associated to Divide and Color Models . . . . . . . . . . . . . . . . . 1043--1060
Tiefeng Jiang and Ke Wang Statistical Properties of Eigenvalues of Laplace--Beltrami Operators . . . . . . 1061--1109 Adrien Barrasso and Francesco Russo Backward Stochastic Differential Equations with No Driving Martingale, Markov Processes and Associated Pseudo-Partial Differential Equations: Part II --- Decoupled Mild Solutions and Examples . . . . . . . . . . . . . . . . 1110--1148 Dorottya Fekete and Sandra Palau and Jose Luis Pérez Backbone Decomposition of Multitype Superprocesses . . . . . . . . . . . . . 1149--1178 Sonja Cox and Stefan Geiss On Decoupling in Banach Spaces . . . . . 1179--1212 Zhen-Qing Chen and Xinwei Feng Reflected Backward Stochastic Differential Equation with Rank-Based Data . . . . . . . . . . . . . . . . . . 1213--1247 Claus Köstler and Alexandru Nica A Central Limit Theorem for Star-Generators of $ S_\infty $, Which Relates to the Law of a GUE Matrix . . . 1248--1278 Ercan Sönmez Sample Path Properties of Generalized Random Sheets with Operator Scaling . . 1279--1298 Safari Mukeru On the Convergence of Series of Dependent Random Variables . . . . . . . 1299--1320 Justin Cyr Stationary Determinantal Processes on $ \mathbb {Z}^d $ with $N$ Labeled Objects per Site, Part I: Basic Properties and Full Domination . . . . . . . . . . . . 1321--1365 Arthur Yosef Selected Topics in the Generalized Mixed Set-Indexed Fractional Brownian Motion 1366--1381 Peng Chen and Ivan Nourdin and Lihu Xu Stein's Method for Asymmetric $ \alpha $ -stable Distributions, with Application to the Stable CLT . . . . . . . . . . . 1382--1407 Xiaojie Ding and Huijie Qiao Euler--Maruyama Approximations for Stochastic McKean--Vlasov Equations with Non-Lipschitz Coefficients . . . . . . . 1408--1425 Micha\l Lema\'nczyk General Bernstein-Like Inequality for Additive Functionals of Markov Chains 1426--1454 Arturo Kohatsu-Higa and David Nualart Large Time Asymptotic Properties of the Stochastic Heat Equation . . . . . . . . 1455--1473 Felix Voigtlaender A General Version of Price's Theorem . . 1474--1485 Ceren Vardar-Acar and Mine Çaglar and Florin Avram Maximum Drawdown and Drawdown Duration of Spectrally Negative Lévy Processes Decomposed at Extremes . . . . . . . . . 1486--1505 Franziska Kühn Schauder Estimates for Poisson Equations Associated with Non-local Feller Generators . . . . . . . . . . . . . . . 1506--1578 Rita Giuliano and Milto Hadjikyriakou On Exact Laws of Large Numbers for Oppenheim Expansions with Infinite Mean 1579--1606 K. K. Kataria and M. Khandakar On the Long-Range Dependence of Mixed Fractional Poisson Process . . . . . . . 1607--1622 Friedrich Götze and Holger Sambale and Arthur Sinulis Concentration Inequalities for Bounded Functionals via Log-Sobolev-Type Inequalities . . . . . . . . . . . . . . 1623--1652 Kazuki Okamura Some Results for Range of Random Walk on Graph with Spectral Dimension Two . . . 1653--1688 Yoshihiro Abe Second-Order Term of Cover Time for Planar Simple Random Walk . . . . . . . 1689--1747
Qian Yu Higher-Order Derivative of Self-Intersection Local Time for Fractional Brownian Motion . . . . . . . 1749--1774 S. Franceschi Green's Functions with Oblique Neumann Boundary Conditions in the Quadrant . . 1775--1810 Imane Jarni and Youssef Ouknine On Reflection with Two-Sided Jumps . . . 1811--1830 Muneya Matsui and Witold \'Swiatkowski Tail indices for $ \mathbf {A} \mathbf {X} + \mathbf {B} $ Recursion with Triangular Matrices . . . . . . . . . . 1831--1869 Zimo Hao and Xuhui Peng and Xicheng Zhang Hörmander's Hypoelliptic Theorem for Nonlocal Operators . . . . . . . . . . . 1870--1916 Yanik-Pascal Förster and Mario Kieburg and Holger Kösters Polynomial Ensembles and Pólya Frequency Functions . . . . . . . . . . . . . . . 1917--1950 Masaki Wada Asymptotic Behavior of the Fundamental Solutions for Critical Schrödinger Forms 1951--1958 Linan Chen Steep Points of Gaussian Free Fields in Any Dimension . . . . . . . . . . . . . 1959--2004 Yuichi Shiozawa and Jian Wang Martingale Nature and Laws of the Iterated Logarithm for Markov Processes of Pure-Jump Type . . . . . . . . . . . 2005--2032 Aurel I. Stan and Florin Catrina 1-Meixner Random Vectors . . . . . . . . 2033--2080 Vincent Bansaye and S. Val\`ere Bitseki Penda A Phase Transition for Large Values of Bifurcating Autoregressive Models . . . 2081--2116 David M. Mason Self-Standardized Central Limit Theorems for Trimmed Lévy Processes . . . . . . . 2117--2144 Yu Miao and Yongcheng Qi Limiting Spectral Radii of Circular Unitary Matrices Under Light Truncation 2145--2165 Masanori Hino and Kouhei Matsuura and Misaki Yonezawa Pathwise Uniqueness and Non-explosion Property of Skorohod SDEs with a Class of Non-Lipschitz Coefficients and Non-smooth Domains . . . . . . . . . . . 2166--2191 Steven Heilman Low Correlation Noise Stability of Symmetric Sets . . . . . . . . . . . . . 2192--2240 V. Cekanavicius and P. Vellaisamy Compound Poisson Approximations in $ \ell_p$-norm for Sums of Weakly Dependent Vectors . . . . . . . . . . . 2241--2264 Viktor Bezborodov and Luca Di Persio and Tyll Krueger A Shape Theorem for a One-Dimensional Growing Particle System with a Bounded Number of Occupants per Site . . . . . . 2265--2284 Hanwu Li and Yongsheng Song Backward Stochastic Differential Equations Driven by $G$-Brownian Motion with Double Reflections . . . . . . . . 2285--2314 Jingjia Liu and Quirin Vogel Large Deviations of the Range of the Planar Random Walk on the Scale of the Mean . . . . . . . . . . . . . . . . . . 2315--2345 Shiyu Song Some Explicit Results on First Exit Times for a Jump Diffusion Process Involving Semimartingale Local Time . . 2346--2367 Fabrice Baudoin and Nizar Demni and Jing Wang Quaternionic Brownian Windings . . . . . 2368--2385 David Clancy, Jr. The Gorin--Shkolnikov Identity and Its Random Tree Generalization . . . . . . . 2386--2420
Mikhail Chebunin and Sergei Zuyev Functional Central Limit Theorems for Occupancies and Missing Mass Process in Infinite Urn Models . . . . . . . . . . 1--19 O. Khorunzhiy On Asymptotic Properties of Bell Polynomials and Concentration of Vertex Degree of Large Random Graphs . . . . . 20--51 Patryk Pagacz and Micha\l Wojtylak Random Perturbations of Matrix Polynomials . . . . . . . . . . . . . . 52--88 Yuki Ueda Limit Theorems for Classical, Freely and Boolean Max-Infinitely Divisible Distributions . . . . . . . . . . . . . 89--114 Ihsan Arharas and Siham Bouhadou and Youssef Ouknine Doubly Reflected Backward Stochastic Differential Equations in the Predictable Setting . . . . . . . . . . 115--141 Zenghu Li and Etienne Pardoux and Anton Wakolbinger The Height Process of a Continuous-State Branching Process with Interaction . . . 142--185 Xinwei Feng and Lidan He and Zhi Liu Large Deviation Principles of Realized Laplace Transform of Volatility . . . . 186--208 Yuu Hariya Integral Representations for the Hartman--Watson Density . . . . . . . . 209--230 Stefan Kremsner and Alexander Steinicke \boldmath $ L^p$-Solutions and Comparison Results for Lévy-Driven Backward Stochastic Differential Equations in a Monotonic, General Growth Setting . . . . . . . . . . . . . . . . 231--281 B. Chikvinidze Necessary and Sufficient Conditions for the Uniform Integrability of the Stochastic Exponential . . . . . . . . . 282--294 Amarjit Budhiraja and Michael Conroy Empirical Measure and Small Noise Asymptotics Under Large Deviation Scaling for Interacting Diffusions . . . 295--349 V. I. Bakhtin and A. V. Lebedev Sup-Sums Principles for $F$-Divergence and a New Definition for $t$-Entropy . . 350--369 Shengqiu Sun Backward Stochastic Differential Equations Driven by $G$-Brownian Motion with Uniformly Continuous Coefficients in $ (y, z)$ . . . . . . . . . . . . . . 370--409 Shige Peng and Huilin Zhang Wong--Zakai Approximation for Stochastic Differential Equations Driven by $G$-Brownian1 Motion . . . . . . . . . . 410--425 Johann Gehringer and Xue-Mei Li Functional Limit Theorems for the Fractional Ornstein--Uhlenbeck Process 426--456 John Rahmani Mixing Times for the Commuting Chain on CA Groups . . . . . . . . . . . . . . . 457--483 Ehsan Azmoodeh and Yuliya Mishura and Farzad Sabzikar How Does Tempering Affect the Local and Global Properties of Fractional Brownian Motion? . . . . . . . . . . . . . . . . 484--527 Mariusz Michta and Jerzy Motyl Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals . . . . . . . . . . . . 528--549 Tomoyuki Ichiba and Guodong Pang and Murad S. Taqqu Path Properties of a Generalized Fractional Brownian Motion . . . . . . . 550--574 Junxia Duan and Jun Peng An Approximation Scheme for Reflected Stochastic Differential Equations with Non-Lipschitzian Coefficients . . . . . 575--602 Malin P. Forsström Color Representations of Ising Models 603--635 José A. Adell Probabilistic Stirling Numbers of the Second Kind and Applications . . . . . . 636--652
Benedikt Stufler Rerooting Multi-type Branching Trees: The Infinite Spine Case . . . . . . . . 653--684 Xin He Local Convergence of Critical Random Trees and Continuous-State Branching Processes . . . . . . . . . . . . . . . 685--713 David Baños and Salvador Ortiz-Latorre and Frank Proske Strong Solutions of Stochastic Differential Equations with Generalized Drift and Multidimensional Fractional Brownian Initial Noise . . . . . . . . . 714--771 Sijie Luo On Azuma-Type Inequalities for Banach Space-Valued Martingales . . . . . . . . 772--800 Erin Crossen Brown and Sevak Mkrtchyan and Jonathan Pakianathan Random Gap Processes and Asymptotically Complete Sequences . . . . . . . . . . . 801--818 Ghurumuruhan Ganesan Euclidean Travelling Salesman Problem with Location-Dependent and Power-Weighted Edges . . . . . . . . . . 819--862 Stein Andreas Bethuelsen and Gabriel Baptista da Silva and Daniel Valesin Graph Constructions for the Contact Process with a Prescribed Critical Rate 863--893 Fulgence Eyi Obiang and Octave Moutsinga and Youssef Ouknine An Ideal Class to Construct Solutions for Skew Brownian Motion Equations . . . 894--916 Shuyang Bai Limit Theorems for Conservative Flows on Multiple Stochastic Integrals . . . . . 917--948 Marie Ernst and Yvik Swan Distances Between Distributions Via Stein's Method . . . . . . . . . . . . . 949--987 Ta Cong Son and Le Van Dung Central Limit Theorems for Weighted Sums of Dependent Random Vectors in Hilbert Spaces via the Theory of the Regular Variation . . . . . . . . . . . . . . . 988--1012 Péter Kevei and Dalia Terhesiu Strong Renewal Theorem and Local Limit Theorem in the Absence of Regular Variation . . . . . . . . . . . . . . . 1013--1048 Paul Dupuis and Guo-Jhen Wu Large Deviation Properties of the Empirical Measure of a Metastable Small Noise Diffusion . . . . . . . . . . . . 1049--1136 Peng Chen and Ivan Nourdin and Rui Zhang Non-integrable Stable Approximation by Stein's Method . . . . . . . . . . . . . 1137--1186 Jianhai Bao and Xing Huang Approximations of McKean--Vlasov Stochastic Differential Equations with Irregular Coefficients . . . . . . . . . 1187--1215 Martin Hildebrand A Multiplicatively Symmetrized Version of the Chung--Diaconis--Graham Random Process . . . . . . . . . . . . . . . . 1216--1225 Marius Kroll Asymptotic Behaviour of the Empirical Distance Covariance for Dependent Data 1226--1246 Endre Csáki and Antónia Földes On the Local Time of the Half-Plane Half-Comb Walk . . . . . . . . . . . . . 1247--1261 Hui Jiang and Qingshan Yang Moderate Deviations for Drift Parameter Estimations in Reflected Ornstein--Uhlenbeck Process . . . . . . 1262--1283 Giacomo Ascione and Nikolai Leonenko and Enrica Pirozzi Non-local Solvable Birth--Death Processes . . . . . . . . . . . . . . . 1284--1323 Benedikt Stufler Quenched Local Convergence of Boltzmann Planar Maps . . . . . . . . . . . . . . 1324--1342 Toshiro Watanabe Second-Order Behaviour for Self-Decomposable Distributions with Two-Sided Regularly Varying Densities 1343--1366
Zhiyan Shi and Zhongzhi Wang and Yan Fan The Generalized Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree . . . . 1367--1390 Do The Son and Duong Xuan Giap and Nguyen Van Quang Chung-Type Strong Laws and Almost Complete Convergence for Arrays of Measurable Operators . . . . . . . . . . 1391--1411 Bogdan Stankov Convergence Towards the End Space for Random Walks on Schreier Graphs . . . . 1412--1422 Xichao Sun and Litan Yan and Yong Ge The Laws of Large Numbers Associated with the Linear Self-attracting Diffusion Driven by Fractional Brownian Motion and Applications . . . . . . . . 1423--1478 Carlos G. Pacheco and Mariana Pérez-Rojas Excursions of the Brox Diffusion . . . . 1479--1500 Ernest Nieznaj On a Certain Operator Related to Blackwell's Markov Chain . . . . . . . . 1501--1510 Manil T. Mohan Mild Solutions for the Stochastic Generalized Burgers--Huxley Equation . . 1511--1536 Rafael Sala Mayato and Patrick Loughlin and Leon Cohen Generating $M$-Indeterminate Probability Densities by Way of Quantum Mechanics 1537--1555 Michael J. Klass and Deli Li and Andrew Rosalsky Divergence Criterion for a Class of Random Series Related to the Partial Sums of I.I.D. Random Variables . . . . 1556--1573 Benjamin Jourdain and Ezéchiel Kahn Strong Solutions to a Beta-Wishart Particle System . . . . . . . . . . . . 1574--1613 Svetlana V. Butler Weak Convergence of Topological Measures 1614--1639 Valentin Bahier and Joseph Najnudel On Smooth Mesoscopic Linear Statistics of the Eigenvalues of Random Permutation Matrices . . . . . . . . . . . . . . . . 1640--1661 Leonardo Videla and Rolando Rebolledo Evolving Systems of Stochastic Differential Equations . . . . . . . . . 1662--1705 Fabian A. Harang and Chengcheng Ling Regularity of Local Times Associated with Volterra--Lévy Processes and Path-Wise Regularization of Stochastic Differential Equations . . . . . . . . . 1706--1735 Jakub Slavík Large and Moderate Deviations Principles and Central Limit Theorem for the Stochastic 3D Primitive Equations with Gradient-Dependent Noise . . . . . . . . 1736--1781 Ryoichi Kunisada On the Additive Property of Finitely Additive Measures . . . . . . . . . . . 1782--1794 Frank den Hollander and Shubhamoy Nandan Spatially Inhomogeneous Populations with Seed-Banks: I. Duality, Existence and Clustering . . . . . . . . . . . . . . . 1795--1841 Christian Mönch Universality for Persistence Exponents of Local Times of Self-Similar Processes with Stationary Increments . . . . . . . 1842--1862 Yuzuru Inahama and Bin Pei Positivity of the Density for Rough Differential Equations . . . . . . . . . 1863--1877 David Weisbart Estimates of Certain Exit Probabilities for $p$-Adic Brownian Bridges . . . . . 1878--1897 Ryuya Namba Edgeworth Expansions for Centered Random Walks on Covering Graphs of Polynomial Volume Growth . . . . . . . . . . . . . 1898--1938 Aminu Ma'aruf Nass Lie Point Symmetries of Autonomous Scalar First-Order Itô Stochastic Delay Ordinary Differential Equations . . . . 1939--1951 David Gilat and Isaac Meilijson and Laura Sacerdote A note on the maximal expected local time of $ L_2 $-bounded martingales . . 1952--1955 Gunhee Cho and Guang Yang Octonionic Brownian Windings . . . . . . 1956--1973 Yong-Hua Mao and Yan-Hong Song Criteria for Geometric and Algebraic Transience for Discrete-Time Markov Chains . . . . . . . . . . . . . . . . . 1974--2008 Michael Fleermann and Werner Kirsch and Gabor Toth Local Central Limit Theorem for Multi-group Curie--Weiss Models . . . . 2009--2019 Ivan Nourdin and Giovanni Peccati and Xiaochuan Yang Multivariate Normal Approximation on the Wiener Space: New Bounds in the Convex Distance . . . . . . . . . . . . . . . . 2020--2037 Dimitris Cheliotis and Dimitra Kouloumpou Functional Limit Theorems for the Pólya Urn . . . . . . . . . . . . . . . . . . 2038--2051 David Criens and Moritz Ritter On a Theorem by A. S. Cherny for Semilinear Stochastic Partial Differential Equations . . . . . . . . . 2052--2067 Fakhreddine Boukhari On a Weak Law of Large Numbers with Regularly Varying Normalizing Sequences 2068--2079 Jan Nagel Correction to: A Functional CLT for Partial Traces of Random Matrices . . . 2080--2081
Grégoire Véchambre General Self-Similarity Properties for Markov Processes and Exponential Functionals of Lévy Processes . . . . . . 2083--2144 Libo Li Characterisation of Honest Times and Optional Semimartingales of Class-$\Sigma$ . . . . . . . . . . . . . 2145--2175 G. L. Zitelli Amalgamated Free Lévy Processes as Limits of Sample Covariance Matrices . . . . . 2176--2193 Paolo Di Tella On the Propagation of the Weak Representation Property in Independently Enlarged Filtrations: The General Case 2194--2216 Stuart A. Burrell Dimensions of Fractional Brownian Images 2217--2238 Ivan Nourdin and Guangqu Zheng Asymptotic Behavior of Large Gaussian Correlated Wishart Matrices . . . . . . 2239--2268 Valentina Cammarota and Domenico Marinucci On the Correlation of Critical Points and Angular Trispectrum for Random Spherical Harmonics . . . . . . . . . . 2269--2303 Irfan Alam Limiting Spherical Integrals of Bounded Continuous Functions . . . . . . . . . . 2304--2342 Nicholas Cook and Walid Hachem and Jamal Najim and David Renfrew Non-Hermitian Random Matrices with a Variance Profile (II): Properties and Examples . . . . . . . . . . . . . . . . 2343--2382 Zhong-Wei Liao and Yutao Ma and Aihua Xia On Stein's Factors for Poisson Approximation in Wasserstein Distance with Nonlinear Transportation Costs . . 2383--2412 Arijit Chakrabarty and Rajat Subhra Hazra and Frank den Hollander and Matteo Sfragara Large Deviation Principle for the Maximal Eigenvalue of Inhomogeneous Erd\Hos--Rényi Random Graphs . . . . . . 2413--2441 Ran Wang and Yimin Xiao Exact Uniform Modulus of Continuity and Chung's LIL for the Generalized Fractional Brownian Motion . . . . . . . 2442--2479 Benjamin Jourdain and Gilles Pag\`es Convex Order, Quantization and Monotone Approximations of ARCH Models . . . . . 2480--2517 Tsubasa Nishimura and Kenji Yasutomi and Tomooki Yuasa Higher-Order Error Estimates of the Discrete-Time Clark--Ocone Formula . . . 2518--2539 Donghan Kim Local Times for Continuous Paths of Arbitrary Regularity . . . . . . . . . . 2540--2568 Gerold Alsmeyer and Bastien Mallein A Simple Method to Find All Solutions to the Functional Equation of the Smoothing Transform . . . . . . . . . . . . . . . 2569--2599 Yang Yang and Shuang Liu and Kam Chuen Yuen Second-Order Tail Behavior for Stochastic Discounted Value of Aggregate Net Losses in a Discrete-Time Risk Model 2600--2621 Toshiro Watanabe Embrechts--Goldie's Problem on the Class of Lattice Convolution Equivalent Distributions . . . . . . . . . . . . . 2622--2642 Raluca M. Balan Stratonovich Solution for the Wave Equation . . . . . . . . . . . . . . . . 2643--2689 Yong-Hua Mao and Tao Wang Convergence Rates in Uniform Ergodicity by Hitting Times and $ L^2 $-Exponential Convergence Rates . . . . . . . . . . . 2690--2711 Holger Sambale and Arthur Sinulis Concentration Inequalities on the Multislice and for Sampling Without Replacement . . . . . . . . . . . . . . 2712--2737 James T. Campbell and A. Deane and A. Quas The Lightning Model . . . . . . . . . . 2738--2756 Daniel Alpay and Palle Jorgensen Mu-Brownian Motion, Dualities, Diffusions, Transforms, and Reproducing Kernel Hilbert Spaces . . . . . . . . . 2757--2783 K. K. Kataria and M. Khandakar Generalized Fractional Counting Process 2784--2805 Pavel Ludvík and Václav Mácha Stochastic Forcing in Hydrodynamic Models with Non-local Interactions . . . 2806--2852 Xiyue Han and Alexander Schied and Zhenyuan Zhang A Limit Theorem for Bernoulli Convolutions and the $ \Phi $-Variation of Functions in the Takagi Class . . . . 2853--2878 Endre Csáki and Antónia Földes Strong Approximation of the Anisotropic Random Walk Revisited . . . . . . . . . 2879--2895 Yevgeniy Kovchegov A New Life of Pearson's Skewness . . . . 2896--2915 Wei Wang and Jianliang Zhai and Tusheng Zhang Stochastic Two-Dimensional Navier--Stokes Equations on Time-Dependent Domains . . . . . . . . . 2916--2939 Xiuwei Yin and Jiang-Lun Wu and Guangjun Shen Well-Posedness for Stochastic Fractional Navier--Stokes Equation in the Critical Fourier--Besov Space . . . . . . . . . . 2940--2959
Rachid Belfadli and Khalifa Es-Sebaiy and Fatima-Ezzahra Farah Volatility Estimation of Gaussian Ornstein--Uhlenbeck Processes of the Second Kind . . . . . . . . . . . . . . ?? Yue Wu and Chenggui Yuan The Galerkin Analysis for the Random Periodic Solution of Semilinear Stochastic Evolution Equations . . . . . ?? Solesne Bourguin and Thanh Dang and Konstantinos Spiliopoulos Moderate Deviation Principle for Multiscale Systems Driven by Fractional Brownian Motion . . . . . . . . . . . . ?? Gilles Pag\`es and Clément Rey Discretization of the Ergodic Functional Central Limit Theorem . . . . . . . . . 1--44 C. A. Fonseca-Mora Almost Sure Uniform Convergence of Stochastic Processes in the Dual of a Nuclear Space . . . . . . . . . . . . . 1--26 Gerold Alsmeyer and Chiranjib Mukherjee On Null-Homology and Stationary Sequences . . . . . . . . . . . . . . . 1--25
Maarten Markering The Large Deviation Principle for Inhomogeneous Erd\Hos--Rényi Random Graphs . . . . . . . . . . . . . . . . . 711--727 Jie Xu and Yanhua Sun and Jie Ren A Support Theorem for Stochastic Differential Equations Driven by a Fractional Brownian Motion . . . . . . . 728--761 Wei Zhang and Hui Min $ L^p $-Error Estimates for Numerical Schemes for Solving Certain Kinds of Mean-Field Backward Stochastic Differential Equations . . . . . . . . . 762--778 Matthias Löwe and Sara Terveer A Central Limit Theorem for the Mean Starting Hitting Time for a Random Walk on a Random Graph . . . . . . . . . . . 779--810 Shuxiong Zhang Lower Deviation Probabilities for Level Sets of the Branching Random Walk . . . 811--844 Levent Ali Mengütürk From Irrevocably Modulated Filtrations to Dynamical Equations Over Random Networks . . . . . . . . . . . . . . . . 845--875 Grégoire Véchambre Almost Sure Behavior for the Local Time of a Diffusion in a Spectrally Negative Lévy Environment . . . . . . . . . . . . 876--925 Jaeyun Yi Macroscopic Multi-fractality of Gaussian Random Fields and Linear Stochastic Partial Differential Equations with Colored Noise . . . . . . . . . . . . . 926--947 Glauco Valle and Leonel Zuaznábar A Version of the Random Directed Forest and its Convergence to the Brownian Web 948--1002 Qinjing Qiu and Reiichiro Kawai Iterative Weak Approximation and Hard Bounds for Switching Diffusion . . . . . 1003--1036 Hui Jiang and Jingying Zhou An Exponential Nonuniform Berry--Esseen Bound for the Fractional Ornstein--Uhlenbeck Process . . . . . . 1037--1058 Conrado da Costa and Bernardo Freitas Paulo da Costa and Daniel Valesin Reaction--Diffusion Models for a Class of Infinite-Dimensional Nonlinear Stochastic Differential Equations . . . 1059--1087 Jan Niklas Latz and Jan M. Swart Commutative Monoid Duality . . . . . . . 1088--1115 Arvydas Astrauskas Some Bounds for the Expectations of Functions on Order Statistics and Their Applications . . . . . . . . . . . . . . 1116--1147 Kei Kobayashi and Hyunchul Park Spectral Heat Content for Time-Changed Killed Brownian Motions . . . . . . . . 1148--1180 Armine Bagyan and Donald Richards Hoffmann--Jòrgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices . . . . . . . . . . . 1181--1202 Huanchao Zhou and Zhidong Bai and Jiang Hu The Limiting Spectral Distribution of Large-Dimensional General Information-Plus-Noise-Type Matrices . . 1203--1226 Giorgos Chasapis and Salil Singh and Tomasz Tkocz Entropies of Sums of Independent Gamma Random Variables . . . . . . . . . . . . 1227--1242 Huaiqian Li and Bingyao Wu Wasserstein Convergence Rates for Empirical Measures of Subordinated Processes on Noncompact Manifolds . . . 1243--1268 Yizhe Zhu On the Second Eigenvalue of Random Bipartite Biregular Graphs . . . . . . . 1269--1303 Liping Li and Hanlai Lin On Order Isomorphisms Intertwining Semigroups for Dirichlet Forms . . . . . 1304--1320 Jirô Akahori and Ryuya Namba and Shunsuke Semba Limit Theorems for Iterates of the Szász--Mirakyan Operator in Probabilistic View . . . . . . . . . . . . . . . . . . 1321--1338 Endre Csáki and Antónia Földes Correction to: Strong Approximation of the Anisotropic Random Walk Revisited 1339--1339
Xi Geng and Cheng Ouyang and Samy Tindel Precise Local Estimates for Differential Equations driven by Fractional Brownian Motion: Elliptic Case . . . . . . . . . 1341--1367 Yu Ito and Toru Sera and Kouji Yano Resolution of Sigma-Fields for Multiparticle Finite-State Action Evolutions with Infinite Past . . . . . 1368--1399 Abdelkarim Oualaid and Khaled Bahlali and Youssef Ouknine Reflected Backward Stochastic Differential Equations Associated to Jump Markov Processes and Application to Partial Differential Equations . . . . . 1400--1436 Nachi Avraham-Re'em Equivalence-Singularity Dichotomy in Markov Measures . . . . . . . . . . . . 1437--1453 Volker Krätschmer and Mikhail Urusov A Kolmogorov--Chentsov Type Theorem on General Metric Spaces with Applications to Limit Theorems for Banach-Valued Processes . . . . . . . . . . . . . . . 1454--1486 Zhang Chen and Bixiang Wang Asymptotic Behavior of Stochastic Complex Lattice Systems Driven by Superlinear Noise . . . . . . . . . . . 1487--1519 Dennis Wollgast and Pavel Zorin-Kranich Weighted Davis Inequalities for Martingale Square Functions . . . . . . 1520--1533 Kohei Noda and Tomoyuki Shirai Expected Number of Zeros of Random Power Series with Finitely Dependent Gaussian Coefficients . . . . . . . . . . . . . . 1534--1554 Michel Bena\"\im and Nicolas Champagnat and William Oçafrain and Denis Villemonais Transcritical Bifurcation for the Conditional Distribution of a Diffusion Process . . . . . . . . . . . . . . . . 1555--1571 Shukai Chen and Rongjuan Fang and Xiangqi Zheng Wasserstein-Type Distances of Two-Type Continuous-State Branching Processes in Lévy Random Environments . . . . . . . . 1572--1590 S. Val\`ere Bitseki Penda and Jean-François Delmas Central Limit Theorem for Kernel Estimator of Invariant Density in Bifurcating Markov Chains Models . . . . 1591--1625 Mátyás Barczy and Zsolt Páles Limit Theorems for Deviation Means of Independent and Identically Distributed Random Variables . . . . . . . . . . . . 1626--1666 Makoto Maejima and Noriyoshi Sakuma Selfsimilar Free Additive Processes and Freely Selfdecomposable Distributions 1667--1697 Yuyang Chen and Peng Luo Existence and Uniqueness of Solutions for Multi-dimensional Reflected Backward Stochastic Differential Equations with Diagonally Quadratic Generators . . . . 1698--1719 Oleksii Kulyk Support Theorem for Lévy-driven Stochastic Differential Equations . . . 1720--1742 Linda Khachatryan and Boris S. Nahapetian On the Characterization of a Finite Random Field by Conditional Distribution and its Gibbs Form . . . . . . . . . . . 1743--1761 Luciana Angiuli and Simone Ferrari and Diego Pallara Functional Inequalities for Some Generalised Mehler Semigroups . . . . . 1762--1796 Xinghu Jin and Tian Shen and Zhonggen Su Using Stein's Method to Analyze Euler--Maruyama Approximations of Regime-Switching Jump Diffusion Processes . . . . . . . . . . . . . . . 1797--1828 David Nualart and Bhargobjyoti Saikia Error distribution of the Euler approximation scheme for stochastic Volterra equations . . . . . . . . . . . 1829--1876 Arkady Tempelman Ergodic Theorems with Random Weights for Stationary Random Processes and Fields 1877--1901 Yifan Bai and Xing Huang Log-Harnack Inequality and Exponential Ergodicity for Distribution Dependent Chan--Karolyi--Longstaff--Sanders and Vasicek Models . . . . . . . . . . . . . 1902--1921 Chunsheng Ma Vector Random Fields on the Probability Simplex with Metric-Dependent Covariance Matrix Functions . . . . . . . . . . . . 1922--1938
N. Durga and P. Muthukumar Exponential Behaviour of Nonlinear Fractional Schrödinger Evolution Equation with Complex Potential and Poisson Jumps 1939--1955 Tobias Weihrauch and Stefan Bachmann On the Probabilistic Representation of the Free Effective Resistance of Infinite Graphs . . . . . . . . . . . . 1956--1971 Josue Vazquez-Becerra Fluctuation Moments Induced by Conjugation with Asymptotically Liberating Random Matrix Ensembles . . . 1972--2039 Marek Arendarczyk and Barbara Jasiulis-Go\ldyn and Edward Omey Asymptotic Properties of Extremal Markov Processes Driven by Kendall Convolution 2040--2065 Da Wu Asymptotic Properties of Random Contingency Tables with Uniform Margin 2066--2092 Balázs Gerencsér and Miklós Rásonyi On the Ergodicity of Certain Markov Chains in Random Environments . . . . . 2093--2125 Vitalii Konarovskyi and Victor Marx On Conditioning Brownian Particles to Coalesce . . . . . . . . . . . . . . . . 2126--2164 Neha Gupta and Arun Kumar Fractional Poisson Processes of Order $k$ and Beyond . . . . . . . . . . . . . 2165--2191 Vladislav Kargin Scaling Limits of Slim and Fat Trees . . 2192--2228 Fabrizio Cinque and Enzo Orsingher Stochastic Dynamics of Generalized Planar Random Motions with Orthogonal Directions . . . . . . . . . . . . . . . 2229--2261 Eugene A. Feinberg and Pavlo O. Kasyanov and Michael Z. Zgurovsky Semi-uniform Feller Stochastic Kernels 2262--2283 Gourab Ray and Tingzhou Yu Quantitative Russo--Seymour--Welsh for Random Walk on Random Graphs and Decorrelation of Uniform Spanning Trees 2284--2310 Jean-Marc Owo and Auguste Aman Generalized Backward Doubly Stochastic Differential Equations Driven by Lévy Processes with Discontinuous and Linear Growth Coefficients . . . . . . . . . . 2311--2338 David Criens On the Relation of One-Dimensional Diffusions on Natural Scale and Their Speed Measures . . . . . . . . . . . . . 2339--2358 Gilles Pag\`es and Clément Rey Discretization of the Ergodic Functional Central Limit Theorem . . . . . . . . . 2359--2402 Tianshi Lu and Chunsheng Ma and Yimin Xiao Strong Local Nondeterminism and Exact Modulus of Continuity for Isotropic Gaussian Random Fields on Compact Two-Point Homogeneous Spaces . . . . . . 2403--2425 Tran Duy Vo The Oscillating Random Walk on $ \mathbb {Z} $ . . . . . . . . . . . . . . . . . 2426--2447 Xiaoyu Dong The Smallest Singular Value of a Shifted Random Matrix . . . . . . . . . . . . . 2448--2475 Gerold Alsmeyer and Chiranjib Mukherjee On Null-Homology and Stationary Sequences . . . . . . . . . . . . . . . 2476--2500 Steffen Betsch Structural Properties of Gibbsian Point Processes in Abstract Spaces . . . . . . 2501--2563 C. A. Fonseca-Mora Almost Sure Uniform Convergence of Stochastic Processes in the Dual of a Nuclear Space . . . . . . . . . . . . . 2564--2589 Jie Xu and Qiqi Lian A Strong Convergence Rate of the Averaging Principle for Two-Time-Scale Forward--Backward Stochastic Differential Equations . . . . . . . . . 2590--2610
Safa Bridaa and Wissem Jedidi and Hristo Sendov Generalized Unimodality and Subordinators, With Applications to Stable Laws and to the Mittag-Leffler Function . . . . . . . . . . . . . . . . 1--42 Remigijus Mikulevicius and Changyong Zhang Convergence of Weak Euler Approximation for Nondegenerate Stochastic Differential Equations Driven by Point and Martingale Measures . . . . . . . . 43--80 Luca Avena and Conrado da Costa Laws of Large Numbers for Weighted Sums of Independent Random Variables: a Game of Mass . . . . . . . . . . . . . . . . 81--120 Pablo A. Gomes and Alan Pereira and Remy Sanchis Anisotropic Non-oriented Bond Percolation in High Dimensions . . . . . 121--132 Yue Wu and Chenggui Yuan The Galerkin Analysis for the Random Periodic Solution of Semilinear Stochastic Evolution Equations . . . . . 133--159 Nicolas Schaeffer Multilinear Smoothing and Local Well-Posedness of a Stochastic Quadratic Nonlinear Schrödinger Equation . . . . . 160--208 István Berkes and Siegfried Hörmann Some Optimal Conditions for the ASCLT 209--227 Hui Jiang and Yajuan Pan and Xiao Wei Self-Normalized Cramér-Type Moderate Deviations for Explosive Vasicek Model 228--250 Ruinan Li and Ran Wang and Beibei Zhang A Large Deviation Principle for the Stochastic Heat Equation with General Rough Noise . . . . . . . . . . . . . . 251--306 Fabian Harang and Samy Tindel and Xiaohua Wang Volterra Equations Driven by Rough Signals 3: Probabilistic Construction of the Volterra Rough Path for Fractional Brownian Motions . . . . . . . . . . . . 307--351 Solesne Bourguin and Thanh Dang and Konstantinos Spiliopoulos Moderate Deviation Principle for Multiscale Systems Driven by Fractional Brownian Motion . . . . . . . . . . . . 352--408 Lanlan Tang and Hua-Ming Wang Cutpoints of (1,2) and (2,1) Random Walks on the Lattice of Positive Half Line . . . . . . . . . . . . . . . . . . 409--445 Peng Chen and Ivan Nourdin and Lihu Xu and Xiaochuan Yang Multivariate Stable Approximation by Stein's Method . . . . . . . . . . . . . 446--488 Anindya Goswami and Subhamay Saha and Ravishankar Kapildev Yadav Semimartingale Representation of a Class of Semi-Markov Dynamics . . . . . . . . 489--510 Xiaohan Wu and Anyue Chen and Junping Li Existence and Uniqueness of Denumerable Markov Processes with Instantaneous States . . . . . . . . . . . . . . . . . 511--532 Kosuke Yamato Renewal Dynamical Approach for Non-Minimal Quasi-Stationary Distributions of One-Dimensional Diffusions . . . . . . . . . . . . . . . 533--548 Mahmoud Khabou and Nicolas Privault and Anthony Réveillac Normal Approximation of Compound Hawkes Functionals . . . . . . . . . . . . . . 549--581 Victoria Knopova and Yana Mokanu On Ergodic Properties of Some Lévy-Type Processes . . . . . . . . . . . . . . . 582--602 Magda Peligrad On the Quenched CLT for Stationary Markov Chains . . . . . . . . . . . . . 603--622 Jingjun Guo and Cuiyun Zhang and Aiqin Ma Derivative of Multiple Self-intersection Local Time for Fractional Brownian Motion . . . . . . . . . . . . . . . . . 623--641 Robert E. Gaunt and Heather Sutcliffe Improved Bounds in Stein's Method for Functions of Multivariate Normal Random Vectors . . . . . . . . . . . . . . . . 642--670 Kyeong-Hun Kim and Daehan Park A Sobolev Space Theory for Time-Fractional Stochastic Partial Differential Equations Driven by Lévy Processes . . . . . . . . . . . . . . . 671--720 Ehsan Azmoodeh and Pauliina Ilmonen and Nourhan Shafik and Tommi Sottinen and Lauri Viitasaari On Sharp Rate of Convergence for Discretization of Integrals Driven by Fractional Brownian Motions and Related Processes with Discontinuous Integrands 721--743 Emmanuel Coffie and Xuerong Mao and Frank Proske On the Analysis of Ait--Sahalia-Type Model for Rough Volatility Modelling . . 744--767 Mohamed Bouali and Jacques Faraut Sylvester Index of Random Hermitian Matrices . . . . . . . . . . . . . . . . 768--813 Amos Nevo and Felix Pogorzelski Shannon--McMillan--Breiman Theorem Along Almost Geodesics in Negatively Curved Groups . . . . . . . . . . . . . . . . . 814--859 Rachid Belfadli and Khalifa Es-Sebaiy and Fatima-Ezzahra Farah Volatility Estimation of Gaussian Ornstein--Uhlenbeck Processes of the Second Kind . . . . . . . . . . . . . . 860--876 Ying Hu and Remi Moreau and Falei Wang General Mean Reflected Backward Stochastic Differential Equations . . . 877--904 Christian Bender and Joachim Lebovits and Jacques Lévy Véhel General Transfer Formula for Stochastic Integral with Respect to Multifractional Brownian Motion . . . . . . . . . . . . 905--932 Andrew Campbell and Sean O'Rourke Spectrum of Lévy--Khintchine Random Laplacian Matrices . . . . . . . . . . . 933--973
Anatoliy Malyarenko and Emilio Porcu Multivariate Random Fields Evolving Temporally Over Hyperbolic Spaces . . . 975--1000 Ihsan Arharas and Youssef Ouknine Reflected and Doubly Reflected Backward Stochastic Differential Equations with Irregular Obstacles and a Large Set of Stopping Strategies . . . . . . . . . . 1001--1038 Malwina Luczak A Note on the Markovian SIR Epidemic on a Random Graph with Given Degrees . . . 1039--1051 Zbigniew Palmowski and Lewis Ramsden and Apostolos D. Papaioannou Exit Times for a Discrete Markov Additive Process . . . . . . . . . . . . 1052--1078 Yan-Xia Ren and Renming Song and Rui Zhang Lower Deviation for the Supremum of the Support of Super-Brownian Motion . . . . 1079--1123 G. Last and I. Molchanov and M. Schulte Normal Approximation of Kabanov--Skorohod Integrals on Poisson Spaces . . . . . . . . . . . . . . . . . 1124--1167 Fumiya Okazaki Convergence of Martingales with Jumps on Submanifolds of Euclidean Spaces and its Applications to Harmonic Maps . . . . . 1168--1198 Huanchao Zhou and Jiang Hu and Zhidong Bai and Jack W. Silverstein Analysis of the Limiting Spectral Distribution of Large-dimensional General Information--Plus-Noise-Type Matrices . . . . . . . . . . . . . . . . 1199--1229 Marco A. Gallegos-Herrada and David Ledvinka and Jeffrey S. Rosenthal Equivalences of Geometric Ergodicity of Markov Chains . . . . . . . . . . . . . 1230--1256 Aurelien Gribinski A Theory of Singular Values for Finite Free Probability . . . . . . . . . . . . 1257--1298 Chunsheng Ma Bifractional Brownian Motions on Metric Spaces . . . . . . . . . . . . . . . . . 1299--1332 K. K. Kataria and M. Khandakar Fractional Skellam Process of Order $k$ 1333--1356 Le Chen and Nicholas Eisenberg Invariant Measures for the Nonlinear Stochastic Heat Equation with No Drift Term . . . . . . . . . . . . . . . . . . 1357--1396 Liuyan Li and Junping Li Harmonic Moments and Large Deviations for the Markov Branching Process with Immigration . . . . . . . . . . . . . . 1397--1416 Nina Gantert and Evita Nestoridi and Dominik Schmid Cutoff on Trees is Rare . . . . . . . . 1417--1444 Rémy Dhoyer and Ciprian A. Tudor Limit Behavior in High-Dimensional Regime for the Wishart Tensors in Wiener Chaos . . . . . . . . . . . . . . . . . 1445--1468 Sewoong Oh and Soumik Pal and Raghav Somani and Raghavendra Tripathi Gradient Flows on Graphons: Existence, Convergence, Continuity Equations . . . 1469--1522 Yifeng Qin Approximation Schemes for McKean--Vlasov and Boltzmann-Type Equations (Error Analysis in Total Variation Distance) 1523--1596 Peng Chen and Xinghu Jin and Tian Shen and Zhonggen Su Variable-Step Euler--Maruyama Approximations of Regime-Switching Jump Diffusion Processes . . . . . . . . . . 1597--1626 Iryna Rozora and Yurii Mlavets and Olga Vasylyk and Volodymyr Polishchuk On Convergence of the Uniform Norm and Approximation for Stochastic Processes from the Space $ {\bf F}_\psi (\Omega) $ 1627--1653 Endre Csáki and Antónia Földes On the Local Time of Anisotropic Random Walk on $ \mathbb {Z^2} $ . . . . . . . 1654--1673 Martin Auer and Michael Voit and Jeannette H. C. Woerner Wigner- and Marchenko--Pastur-Type Limit Theorems for Jacobi Processes . . . . . 1674--1709 Huili Liu and Xiaowen Zhou Exact Modulus of Continuities for $ \Lambda $-Fleming--Viot Processes with Brownian Spatial Motion . . . . . . . . 1710--1744 Denis Denisov and Vitali Wachtel Green Function for an Asymptotically Stable Random Walk in a Half Space . . . 1745--1786 Olga Aryasova and Ilya Pavlyukevich and Andrey Pilipenko Homogenization of a Multivariate Diffusion with Semipermeable Interfaces 1787--1823 Guangying Lv and Wei Wang and Jinlong Wei Coupled McKean--Vlasov Equations Over Convex Domains . . . . . . . . . . . . . 1824--1849 Xiaoyue Li and Xuerong Mao and Guoting Song Explicit Approximation of Invariant Measure for Stochastic Delay Differential Equations with the Nonlinear Diffusion Term . . . . . . . . 1850--1881 Marc Peigné and Da Cam Pham A Conditioned Local Limit Theorem for Nonnegative Random Matrices . . . . . . 1882--1901 Bingjun Wang and Hongjun Gao and Mingxia Yuan and Qingkun Xiao Reflected Backward Stochastic Differential Equations Driven by $G$-Brownian Motion Under Monotonicity Condition . . . . . . . . . . . . . . . 1902--1926 Rodrigo B. Alves and Giulio Iacobelli and Glauco Valle A Note on Transience of Generalized Multi-Dimensional Excited Random Walks 1927--1943
Jelena Jockovi\'c and Bojana Todi\'c Waiting Time for a Small Subcollection in the Coupon Collector Problem with Universal Coupon . . . . . . . . . . . . 1945--1957 Shuyang Bai and He Tang Joint Sum-and-Max Limit for a Class of Long--Range Dependent Processes with Heavy Tails . . . . . . . . . . . . . . 1958--1987 Mackenzie Simper Random Transpositions on Contingency Tables . . . . . . . . . . . . . . . . . 1988--2022 Goran Popivoda and Sinisa Stamatovi\'c Sojourn Times of Gaussian Processes with Random Parameters . . . . . . . . . . . 2023--2053 Qian Yu and Xianye Yu Limit Theorem for Self-intersection Local Time Derivative of Multidimensional Fractional Brownian Motion . . . . . . . . . . . . . . . . . 2054--2075 Barbara Trivellato Sub-exponentiality in Statistical Exponential Models . . . . . . . . . . . 2076--2096 Wensheng Wang The Moduli of Continuity for Operator Fractional Brownian Motion . . . . . . . 2097--2120 Andrzej Komisarski and Jacques Labuschagne The Distributions of the Mean of Random Vectors with Fixed Marginal Distribution 2121--2129 Shigeki Aida Rough Differential Equations Containing Path-Dependent Bounded Variation Terms 2130--2183 Alain Durmus and Eric Moulines and Alexey Naumov and Sergey Samsonov Probability and Moment Inequalities for Additive Functionals of Geometrically Ergodic Markov Chains . . . . . . . . . 2184--2233 Christophe Cuny and Jérôme Dedecker and Florence Merlev\`ede Strong Approximations for a Class of Dependent Random Variables with Semi-Exponential Tails . . . . . . . . . 2234--2252 Amadou Diop and Mamadou Moustapha Mbaye and Yong-Kui Chang and Gaston Mandata N'Guérékata Measure Pseudo-$S$-asymptotically Bloch-Type Periodicity of Some Semilinear Stochastic Integrodifferential Equations . . . . . 2253--2276 S. Y. Novak On Poisson Approximation . . . . . . . . 2277--2303 Weijie Yuan and Zhenlong Chen Hausdorff Measure and Uniform Dimension for Space--Time Anisotropic Gaussian Random Fields . . . . . . . . . . . . . 2304--2329 Antoine Goldsborough and Stefanie Zbinden Some Properties of Markov chains on the Free Group $ \mathbb {F}_2 $ . . . . . . 2330--2351 Elena Issoglio and Francesco Russo Stochastic Differential Equations with Singular Coefficients: The Martingale Problem View and the Stochastic Dynamics View . . . . . . . . . . . . . . . . . . 2352--2393 Lianzi Jiang and Gechun Liang A Robust $ \alpha $-Stable Central Limit Theorem Under Sublinear Expectation without Integrability Condition . . . . 2394--2424 Marc Arnaudon and Koléh\`e Coulibaly-Pasquier and Laurent Miclo On Markov Intertwining Relations and Primal Conditioning . . . . . . . . . . 2425--2456 Yan-Xia Ren and Ting Yang Limiting Distributions for a Class of Super-Brownian Motions with Spatially Dependent Branching Mechanisms . . . . . 2457--2507 Sebastian Rickelhoff and Alexander Schnurr The Time--Dependent Symbol of a Non-homogeneous Itô Process and Corresponding Maximal Inequalities . . . 2508--2533 Jan Czajkowski Non-uniqueness Phase of Percolation on Reflection Groups in $ \mathbb {H}^3 $ 2534--2575 Wenjie Ye Stochastic Differential Equations with Local Growth Singular Drifts . . . . . . 2576--2614 Hanwu Li and Guomin Liu Multi-dimensional Reflected Backward Stochastic Differential Equations Driven by $G$-Brownian Motion with Diagonal Generators . . . . . . . . . . . . . . . 2615--2645 Margaryta Myronyuk An Analogue of the Klebanov Theorem for Locally Compact Abelian Groups . . . . . 2646--2664 Juan Carlos Sampedro On the $ L^p $-Spaces of Projective Limits of Probability Measures . . . . . 2665--2703 Alexander Iksanov and Vitali Wachtel Precise Tail Behaviour of Some Dirichlet Series . . . . . . . . . . . . . . . . . 2704--2737 Federica Masiero and Enrico Priola Partial Smoothing of the Stochastic Wave Equation and Regularization by Noise Phenomena . . . . . . . . . . . . . . . 2738--2774 Linjie Zhao and Xiaofeng Xue The Voter Model with a Slow Membrane . . 2775--2817 Fuqing Gao and Yunshi Gao and Xianjie Xia Asymptotic Behaviors for Random Geometric Series . . . . . . . . . . . . 2818--2842 Azam A. Imomov and Misliddin Murtazaev Renewed Limit Theorems for Noncritical Galton--Watson Branching Systems . . . . 2843--2858
Wioletta M. Ruszel and Debleena Thacker Positive Reinforced Generalized Time-Dependent Pólya Urns via Stochastic Approximation . . . . . . . . . . . . . 2859--2885 Shengqiu Sun Doubly Reflected Backward Stochastic Differential Equations Driven by $G$-Brownian Motion with Uniformly Continuous Coefficients . . . . . . . . 2886--2911 A. Afreen and A. Raheem and A. Khatoon Optimal Controllability for Multi-Term Time-Fractional Stochastic Systems with Non-Instantaneous Impulses . . . . . . . 2912--2940 Alexander Kalinin and Thilo Meyer-Brandis and Frank Proske Stability, Uniqueness and Existence of Solutions to McKean--Vlasov Stochastic Differential Equations in Arbitrary Moments . . . . . . . . . . . . . . . . 2941--2989 Xian Chen and Yong Chen and Yumin Cheng and Chen Jia Moderate and $ L^p $ Maximal Inequalities for Diffusion Processes and Conformal Martingales . . . . . . . . . 2990--3014 Jiang Hui and Xu Lihu and Yang Qingshan Functional Large Deviations for Kac--Stroock Approximation to a Class of Gaussian Processes with Application to Small Noise Diffusions . . . . . . . . . 3015--3054 Francesco Iafrate and Costantino Ricciuti Some Families of Random Fields Related to Multiparameter Lévy Processes . . . . 3055--3088 Dennis Leung and Qi-Man Shao and Liqian Zhang Another Look at Stein's Method for Studentized Nonlinear Statistics with an Application to $U$-Statistics . . . . . 3089--3151 Xing Huang and Xiaochen Ma Harnack Inequality for Distribution Dependent Second-Order Stochastic Differential Equations . . . . . . . . . 3152--3176 Shosei Takeda Sample Path Behaviors of Lévy Processes Conditioned to Avoid Zero . . . . . . . 3177--3201 M. N. N. Namboodiri Regularity of the Semigroup of Regular Probability Measures on Locally Compact Hausdorff Topological Groups . . . . . . 3202--3215 Ritik Soni and Ashok Kumar Pathak Generalized Iterated Poisson Process and Applications . . . . . . . . . . . . . . 3216--3245 Alessandro De Gregorio and Francesco Iafrate Path Dynamics of Time-Changed Lévy Processes: a Martingale Approach . . . . 3246--3280 Alessandro De Gregorio and Francesco Iafrate Correction: Path Dynamics of Time-Changed Lévy Processes: a Martingale Approach . . . . . . . . . . . . . . . . 3281--3282 Yogesh Dahiya and Neeraja Sahasrabudhe Urns with Multiple Drawings and Graph-Based Interaction . . . . . . . . 3283--3316 Francesco Casini and Cristian Giardin\`a and Frank Redig Density Fluctuations for the Multi-Species Stirring Process . . . . . 3317--3354 Haojie Hou and Yan-Xia Ren and Renming Song Asymptotic Expansions for Additive Measures of Branching Brownian Motions 3355--3394 Natalia Cardona-Tobón and Juan Carlos Pardo Explosion Rates for Continuous-State Branching Processes in a Lévy Environment 3395--3425 Roberta Flenghi and Benjamin Jourdain Convergence to the Uniform Distribution of Vectors of Partial Sums Modulo One with a Common Factor . . . . . . . . . . 3426--3454 Xavier Bressaud and Serge Cohen Transition of the Simple Random Walk on the Ice Model Graph . . . . . . . . . . 3455--3478 Robert C. Dalang and Fei Pu Hitting with Probability One for Stochastic Heat Equations with Additive Noise . . . . . . . . . . . . . . . . . 3479--3495 Yue Li and Shijie Shang and Jianliang Zhai Large Deviation Principle for Stochastic Reaction--Diffusion Equations with Superlinear Drift on $ \mathbb{R} $ Driven by Space--Time White Noise . . . 3496--3539 P. Vishwakarma and K. K. Kataria On the Generalized Birth--Death Process and Its Linear Versions . . . . . . . . 3540--3580 Dingwen Zhang Determining the Number and Values of Thresholds for Multi-regime Threshold Ornstein--Uhlenbeck Processes . . . . . 3581--3626 Maximilian Janisch and Thomas Lehéricy Berry--Esseen-Type Estimates for Random Variables with a Sparse Dependency Graph 3627--3653 Xiao-Yu Zhao Well-Posedness for Path-Distribution Dependent Stochastic Differential Equations with Singular Drifts . . . . . 3654--3687 Abraham Romain and Boulal Sonia and Debs Pierre Penalization of Galton--Watson Trees with Marked Vertices . . . . . . . . . . 3688--3724 Judy Yangjun Lin and Huoxia Liu The Transport Map Computed by Iterated Function System . . . . . . . . . . . . 3725--3755 Xiansi Ma and Yongcheng Qi Limiting Spectral Radii for Products of Ginibre Matrices and Their Inverses . . 3756--3780 Zhe Pu and Jianxiu Guo and Dingshi Li Invariant Measures for Stochastic Reaction--Diffusion Problems on Unbounded Thin Domains Driven by Nonlinear Noise . . . . . . . . . . . . 3781--3802
Danijel Grahovac and Péter Kevei Tail Behavior and Almost Sure Growth Rate of Superpositions of Ornstein--Uhlenbeck-type Processes . . . ?? Xinghu Jin and Tian Shen and Zhonggen Su and Yuzhen Tan The Euler--Maruyama Approximation of State--Dependent Regime Switching Diffusions . . . . . . . . . . . . . . . ?? Tommaso Vison\`a Intersections of Randomly Translated Sets . . . . . . . . . . . . . . . . . . ?? Enzo Orsingher and Manfred Marvin Marchione Planar Random Motions in a Vortex . . . ?? Xia Chen and Jian Song Small Deviations for the Mutual Intersection Local Time of Brownian Motions . . . . . . . . . . . . . . . . ?? Riccardo Passeggeri A Denseness Property of Stochastic Processes . . . . . . . . . . . . . . . ?? Stanis\law Cichomski and Adam Os\kekowski On the Existence of Extreme Coherent Distributions with No Atoms . . . . . . ?? Pascal Beckedorf and Angelika Rohde Non-uniform Bounds and Edgeworth Expansions in Self-normalized Limit Theorems . . . . . . . . . . . . . . . . ?? Gilles Germain and Yvik Swan Bounding the $ L^1 $-Distance Between One--Dimensional Continuous and Discrete Distributions via Stein's Method . . . . ?? Daehong Kim and Takara Tagawa Quasi-Ergodic Limits for Moments of Jumps Under Absorbing Stable Processes ?? Yuu Hariya A Girsanov-Type Formula for a Class of Anticipative Transforms of Brownian Motion Associated with Exponential Functionals . . . . . . . . . . . . . . ?? Tianjiao Hua and Peng Luo Well-Posedness for a Class of Mean-Field-Type Forward--Backward Stochastic Differential Equations and Classical Solutions of Related Master Equations . . . . . . . . . . . . . . . ?? Jiayan Guo and Wenming Hong Precise Large Deviations for the Total Population of Heavy-Tailed Subcritical Branching Processes with Immigration . . ?? Denis Denisov and Kaiyuan Zhang Markov Chains in the Domain of Attraction of Brownian Motion in Cones ?? Vasily Melnikov Limit Theorems for $ \sigma $-Localized Émery Convergence . . . . . . . . . . . . ?? Xiang Li and Lihu Xu and Haoran Yang Stable Central Limit Theorem in Total Variation Distance . . . . . . . . . . . ?? Pietro Maria Sparago Note on the Weak Convergence of Hyperplane $ \alpha $-Quantile Functionals and Their Continuity in the Skorokhod J1 Topology . . . . . . . . . ?? Luisa Beghin and Lorenzo Cristofaro and José Luís da Silva Fox-$H$ Densities and Completely Monotone Generalized Wright Functions ?? Pranay Agarwal Lower Bound for Large Local Transversal Fluctuations of Geodesics in Last Passage Percolation . . . . . . . . . . ?? Kento Ueda Error Distribution for One-Dimensional Stochastic Differential Equations Driven By Fractional Brownian Motion . . . . . ?? K. K. Kataria and P. Vishwakarma On Time-Changed Linear Birth--Death-Immigration Process . . . . ?? Virginia Pedreira Stochastic Comparisons of Tracy--Widom $ \beta $ Distributions . . . . . . . . . ?? Gerold Alsmeyer and Alexander Iksanov and Zakhar Kabluchko On Decoupled Standard Random Walks . . . ?? El Mehdi Haress and Alexandre Richard Long-time Hurst Regularity of Fractional Stochastic Differential Equations and Their Ergodic Means . . . . . . . . . . ?? Qifeng Yao and Longsheng Cheng and Wenhe Chen and Ting Mao and Zhipeng Chang The Generalized Entropy Ergodic Theorem with Two Types of Convergence for $M$-th-Order Nonhomogeneous Hidden Markov Models . . . . . . . . . . . . . ?? André Goldman The Cosine--Sine Decomposition and Conditional Negative Correlation Inequalities for Determinantal Processes ?? Nikolaos Kolliopoulos and Martin Larsson and Zeyu Zhang Propagation of Chaos for Point Processes Induced by Particle Systems with Mean-Field Drift Interaction . . . . . . ?? Zuozheng Zhang and Fubao Xi Existence, Uniqueness and Stability Analysis for Neutral Stochastic Functional Differential Equations with Jumps and Infinite Delay . . . . . . . . ?? Stella Brassesco and Glauco Valle and Maria Eulália Vares Onset of Pattern Formation for the Stochastic Allen--Cahn Equation . . . . ?? Shanshan Hu and Yue Wang Exponential Ergodicity for Singular McKean--Vlasov Stochastic Differential Equations in Weighted Variation Metric ?? Anonymous Journal navigation . . . . . . . . . . . ??