Sommaire du Fascicule no. 4

Correction: Supports of Certain Infinitely Divisible Probability Measures on Locally Convex Spaces

Rajput, Balram S.

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Stable Limits for Associated Random Variables

Dabrowski, Andre Robert ; Jakubowski, Adam

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p. 1-16

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Large Deviations, Moderate Deviations and LIL for Empirical Processes

Wu, Liming

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p. 17-27

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Sharper Bounds for Gaussian and Empirical Processes

Talagrand, M.

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p. 28-76

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On the Upper and Lower Classes for a Stationary Gaussian Stochastic Process

Albin, J. M. P.

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p. 77-93

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Rates of Convergence for Empirical Processes of Stationary Mixing Sequences

Yu, Bin

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p. 94-116

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A Remark on Convergence in Distribution of $U$-Statistics

Gine, Evarist ; Zinn, Joel

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p. 117-125

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On the Average Difference Between Concomitants and Order Statistics

Goel, Prem K. ; Hall, Peter

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p. 126-144

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The Asymptotic Distribution of Intermediate Sums

Csorgo, Sandor ; Mason, David M.

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p. 145-159

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Survival Asymptotics for Brownian Motion in a Poisson Field of Decaying Traps

Bolthausen, Erwin ; Hollander, Frank Den

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p. 160-176

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Hitting Spheres from the Exterior

Betz, C. ; Gzyl, H.

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p. 177-179

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Domination Between Trees and Application to an Explosion Problem

Pemantle, Robin ; Peres, Yuval

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p. 180-194

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Stationary Processes Indexed by a Homogeneous Tree

Arnaud, Jean-Pierre

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p. 195-218

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Markov Chains Indexed by Trees

Benjamini, Itai ; Peres, Yuval

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p. 219-243

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Survival of One-Dimensional Cellular Automata Under Random Perturbations

Bramson, Maury ; Neuhauser, Claudia

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p. 244-263

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Algebraic $L^2$ Decay of Attractive Critical Processes on the Lattice

Deuschel, Jean-Dominique

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p. 264-283

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Exponential Waiting Time for a Big Gap in a One-Dimensional Zero-Range Process

Ferrari, P. A. ; Galves, A. ; Landim, C.

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p. 284-288

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Particle Systems and Reaction-Diffusion Equations

Durrett, R. ; Neuhauser, C.

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p. 289-333

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Spatial Patterns when Phases Separate in an Interacting Particle System

Masi, A. De ; Pellegrinotti, A. ; Presutti, E. ; Vares, M. E.

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p. 334-371

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Asymptotics of Exit Times for Markov Jump Processes I

Iscoe, I. ; McDonald, D.

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p. 372-397

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Random Rotations: Characters and Random Walks on SO(N)

Rosenthal, Jeffrey S.

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p. 398-423

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A Transient Random Walk on Stochastic Matrices with Dirichlet Distributions

Chamayou, Jean-Francois ; Letac, Gerard

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p. 424-430

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Dynamics of the McKean-Vlasov Equation

Chan, Terence

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p. 431-441

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A Proof of Steutel's Conjecture

Kristiansen, Gundorph K.

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p. 442-452

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On a Domination of Sums of Random Variables by Sums of Conditionally Independent Ones

Hitczenko, Pawel

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p. 453-468

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Integration by Parts on Wiener Space and the Existence of Occupation Densities

Imkeller, Peter ; Nualart, David

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p. 469-493

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Decomposition of Dirichlet Processes and its Application

Lyons, T. J. ; Zhang, T. S.

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p. 494-524

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Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion

Aldous, David

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p. 527-545

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Ito Excursion Theory for Self-Similar Markov Processes

Vuolle-Apiala, J.

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p. 546-565

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Intersection Local Time for Points of Infinite Multiplicity

Bass, Richard F. ; Burdzy, Krzysztof ; Khoshnevisan, Davar

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p. 566-625

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Laws of the Iterated Logarithm for the Local Times of Symmetric Levy Processes and Recurrent Random Walks

Marcus, Michael B. ; Rosen, Jay

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p. 626-658

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A Law of the Iterated Logarithm for Stochastic Processes Defined by Differential Equations with a Small Parameter

Kouritzin, M. A. ; Heunis, A. J.

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p. 659-679

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Lyapunov Functions for Semimartingale Reflecting Brownian Motions

Dupuis, Paul ; Williams, Ruth J.

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p. 680-702

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Rotational Representations of Transition Matrix Functions

Kalpazidou, S.

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p. 703-712

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Large Deviations for Markov Chains with Random Transitions

Seppalainen, Timo

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p. 713-748

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Disagreement Percolation in the Study of Markov Fields

Berg, J. Van Den ; Maes, C.

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p. 749-763

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Coexistence in Threshold Voter Models

Liggett, Thomas M.

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p. 764-802

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A Note on Inhomogeneous Percolation

Zhang, Yu

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p. 803-819

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Current Fluctuations for the Asymmetric Simple Exclusion Process

Ferrari, P. A. ; Fontes, L. R. G.

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p. 820-832

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Ergodic Theorems for Infinite Systems of Locally Interacting Diffusions

Cox, J. T. ; Greven, Andreas

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p. 833-853

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Asymptotic Behavior of the Two Level Measure Branching Process

Wu, Yadong

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p. 854-874

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Localization of a Two-Dimensional Random Walk with an Attractive Path Interaction

Bolthausen, Erwin

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p. 875-918

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The Transportation Cost from the Uniform Measure to the Empirical Measure in Dimension $\geq 3$

Talagrand, M.

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p. 919-959

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Entropy and the Consistent Estimation of Joint Distributions

Marton, Katalin ; Shields, Paul C.

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p. 960-977

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Isoperimetric Inequalities for Distributions of Exponential Type

Bobkov, S. G.

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p. 978-994

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Strong Differential Subordination and Stochastic Integration

Burkholder, Donald L.

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p. 995-1025

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On Strassen's Law of the Iterated Logarithm in Banach Space

Chen, Xia

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p. 1026-1043

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Order-of-Magnitude Bounds for Expectations Involving Quadratic Forms

de la Pena, Victor H. ; Klass, Michael J.

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p. 1044-1077

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A Law of the Logarithm for Kernel Quantile Density Estimators

Xiang, Xiaojing

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p. 1078-1091

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Distinguishing a Sequence of Random Variables from a Random Translate of Itself

Okazaki, Yoshiaki ; Sato, Hiroshi

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p. 1092-1096

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Convergence in Distribution of Conditional Expectations

Goggin, Eimear M.

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p. 1097-1114

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Review: Michel Ledoux, Michel Talagrand, Probability in Banach Spaces: Isoperimetry and Processes

Hahn, Marjorie G.

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p. 1115-1120

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The Threshold Voter Automaton at a Critical Point

Steif, Jeffrey E.

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p. 1121-1139

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On the Critical Behavior of the Contact Process in Deterministic Inhomogeneous Environments

Madras, Neal ; Schinazi, Rinaldo ; Schonmann, Roberto H.

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p. 1140-1159

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Critical Attractive Spin Systems

Bezuidenhout, Carol ; Gray, Lawrence

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p. 1160-1194

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On the Stability of a Population Growth Model with Sexual Reproduction on $Z^d, d \geq 2$

Chen, Hwa-Nien

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p. 1195-1226

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Extinction of Contact and Percolation Processes in a Random Environment

Klein, Abel

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p. 1227-1251

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Equilibrium Fluctuations of a One-Dimensional Nongradient Ginzburg-Landau Model

Lu, Shenglin

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p. 1252-1272

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On the Filtration of Historical Brownian Motion

Barlow, Martin T. ; Perkins, Edwin A.

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p. 1273-1294

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Exact Rates of Convergence to Brownian Local Time

Khoshnevisan, Davar

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p. 1295-1330

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The Small Ball Problem for the Brownian Sheet

Talagrand, Michel

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p. 1331-1354

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MWI Representation of the Number of Curve-Crossings by a Differentiable Gaussian Process, with Applications

Slud, Eric V.

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p. 1355-1380

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Large Deviations for a Random Walk in Random Environment

Greven, Andreas ; den Hollander, Frank

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p. 1381-1428

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Gambler's Ruin and the First Exit Position of Random Walk from Large Spheres

Griffin, Philip S. ; McConnell, Terry R.

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p. 1429-1472

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Infinite Limits and Infinite Limit Points of Random Walks and Trimmed Sums

Kesten, Harry ; Maller, R. A.

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p. 1473-1513

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Asymptotic Distributions for Weighted $U$-Statistics

Major, Peter

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p. 1514-1535

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Approximating Random Variables by Stochastic Integrals

Schweizer, Martin

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p. 1536-1575

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On Russo's Approximate Zero-One Law

Talagrand, Michel

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p. 1576-1587

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A Solution to the Game of Googol

Gnedin, Alexander V.

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p. 1588-1595

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On Concentration Functions on Discrete Groups

Bartoszek, Wojciech

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p. 1596-1599

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A Characterization of Stopping Times

Knight, Frank B. ; Maisonneuve, Bernard

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p. 1600-1606

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Variational Inequalities with Examples and an Application to the Central Limit Theorem

Cacoullos, T. ; Papathanasiou, V. ; Utev, S. A.

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p. 1607-1618

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Functional Laws of the Iterated Logarithm for Local Empirical Processes Indexed by Sets

Deheuvels, Paul ; Mason, David M.

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p. 1619-1661

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Chapman-Kolmogorov Equation for Non-Markovian Shift-Invariant Measures

Courbage, M. ; Hamdan, D.

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p. 1662-1677

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Optimum Bounds for the Distributions of Martingales in Banach Spaces

Pinelis, Iosif

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p. 1679-1706

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Lower Estimates of the Convergence Rate for $U$-Statistics

Bentkus, Vidmantas ; Gotze, Friedrich ; Zitikis, Ricardas

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p. 1707-1714

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On Some Asymptotic Properties of $U$ Statistics and One-Sided Estimates

Bose, Arup ; Dasgupta, Ratan

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p. 1715-1724

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$U$-Statistic Processes: A Martingale Approach

Stute, Winfried

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p. 1725-1744

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Contraction and Decoupling Inequalities for Multilinear Forms and $U$-Statistics

de la Pena, V. H. ; Montgomery-Smith, S. J. ; Szulga, Jerzy

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p. 1745-1765

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Sums of Independent Triangular Arrays and Extreme Order Statistics

Janssen, Arnold

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p. 1766-1793

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On Chung's Law of the Iterated Logarithm for Some Stochastic Integrals

Remillard, Bruno

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p. 1794-1802

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A Universal Chung-Type Law of the Iterated Logarithm

Einmahl, Uwe ; Mason, David M.

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p. 1803-1825

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A Universal One-Sided Law of the Iterated Logarithm

Mason, David M.

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p. 1826-1837

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Necessary and Sufficient Conditions for the Strassen Law of the Iterated Logarithm in Nonuniform Topologies

Deheuvels, Paul ; Lifshits, Mikhail A.

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p. 1838-1856

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On the Almost Sure Minimal Growth Rate of Partial Sum Maxima

Klass, Michael J. ; Zhang, Cun-Hui

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p. 1857-1878

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Lim Inf Results for Gaussian Samples and Chung's Functional LIL

Kuelbs, James ; Li, Wenbo V. ; Talagrand, Michel

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p. 1879-1903

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Stable Processes with Sample Paths in Orlicz Spaces

Norvaisa, Rimas ; Samorodnitsky, Gennady

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p. 1904-1929

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Levy Measures of Infinitely Divisible Random Vectors and Slepian Inequalities

Samorodnitsky, Gennady ; Taqqu, Murad S.

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p. 1930-1956

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Asymptotic Expansions for the Distributions of Stopped Random Walks and First Passage Times

Lai, Tze Leung ; Wang, Julia Qizhi

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p. 1957-1992

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Critical Phenomena for Sequence Matching with Scoring

Dembo, Amir ; Karlin, Samuel ; Zeitouni, Ofer

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p. 1993-2021

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Limit Distribution of Maximal Non-Aligned Two-Sequence Segmental Score

Dembo, Amir ; Karlin, Samuel ; Zeitouni, Ofer

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p. 2022-2039

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Density-Dependent Limits for a Nonlinear Reaction-Diffusion Model

Blount, Douglas

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p. 2040-2070

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Multidimensional Reaction-Diffusion Equations with White Noise Boundary Perturbations

Sowers, R. B.

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p. 2071-2121

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Large Deviations for Empirical Process of Mean-Field Interacting Particle System with Unbounded Jumps

Feng, Shui

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p. 2122-2151

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On Conditioning a Random Walk to Stay Nonnegative

Bertoin, J. ; Doney, R. A.

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p. 2152-2167

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Asymptotics of Exit Times for Markov Jump Processes. II: Applications to Jackson Networks

Iscoe, I. ; McDonald, D.

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p. 2168-2182

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Weak Convergence of Markov Processes with Extended Generators

Xia, Aihua

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p. 2183-2202

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The Full Martin Boundary of the Bi-Tree

Picardello, Massimo A. ; Woess, Wolfgang

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p. 2203-2222

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Tightness of Products of I.I.D. Random Matrices. II

Mukherjea, Arunava

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p. 2223-2234

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A Solution of the Computer Tomography Paradox and Estimating the Distances Between the Densities of Measures with the Same Marginals

Khalfin, L. A. ; Klebanov, L. B.

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p. 2235-2241

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Limit Theorems for Nonlinear Functionals of a Stationary Gaussian Sequence of Vectors

Arcones, Miguel A.

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p. 2242-2274

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