Sommaire du Fascicule no. 4

Correction: Bad Rates of Convergence for the Central Limit Theorem in Hilbert Space

Rhee, WanSoo ; Talagrand, Michel

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Addendum: On the Supports of Measure-Valued Critical Branching Brownian Motion

Iscoe, I.

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A Sharp Deviation Inequality for the Stochastic Traveling Salesman Problem

Rhee, WanSoo T. ; Talagrand, Michel

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p. 1-8

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Two Moments Suffice for Poisson Approximations: The Chen-Stein Method

Arratia, R. ; Goldstein, L. ; Gordon, L.

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p. 9-25

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Flux and Fixation in Cyclic Particle Systems

Bramson, Maury ; Griffeath, David

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p. 26-45

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Large Deviations for Systems of Noninteracting Recurrent Particles

Lee, Tzong-Yow

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p. 46-57

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Large Deviations for $l^2$-Valued Ornstein-Uhlenbeck Processes

Iscoe, I. ; McDonald, D.

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p. 58-73

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Invariance Principle and Empirical Mean Large Deviations of the Critical Ornstein-Uhlenbeck Process

Deuschel, Jean-Dominique

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p. 74-90

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The Scaling Limit of Self-Avoiding Random Walk in High Dimensions

Slade, Gordon

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p. 91-107

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A Central Limit Theorem for Two-Dimensional Random Walks in Random Sceneries

Bolthausen, Erwin

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p. 108-115

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Travelling Waves in Inhomogeneous Branching Brownian Motions. II

Lalley, S. ; Sellke, T.

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p. 116-127

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An Algebraic Construction of a Class of One-Dependent Processes

Aaronson, Jon ; Gilat, David ; Keane, Michael ; de Valk, Vincent

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p. 128-143

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Smoothness of the Convex Hull of Planar Brownian Motion

Cranston, M. ; Hsu, P. ; March, P.

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p. 144-150

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Coupling Methods for Multidimensional Diffusion Processes

Chen, Mu-Fa ; Li, Shao-Fu

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p. 151-177

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Stochastic Difference Equations and Generalized Gamma Distributions

Klebaner, Fima C.

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p. 178-188

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Dimensional Properties of One-Dimensional Brownian Motion

Kaufman, Robert

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p. 189-193

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Integration by Parts, Homogeneous Chaos Expansions and Smooth Densities

Elliott, Robert J. ; Kohlmann, Michael

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p. 194-207

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Integration by Parts and Time Reversal for Diffusion Processes

Millet, A. ; Nualart, D. ; Sanz, M.

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p. 208-238

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Hungarian Constructions from the Nonasymptotic Viewpoint

Bretagnolle, J. ; Massart, P.

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p. 239-256

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An Extended Version of the Erdos-Renyi Strong Law of Large Numbers

Mason, David M.

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p. 257-265

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Strong Approximation for Multivariate Empirical and Related Processes, Via KMT Constructions

Massart, Pascal

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p. 266-291

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Laws of the Iterated Logarithm for the Empirical Characteristic Function

Lacey, Michael T.

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p. 292-300

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Rates of Convergence for the Functional LIL

Goodman, Victor ; Kuelbs, James

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p. 301-316

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A Functional Central Limit Theorem for Random Mappings

Hansen, Jennie C.

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p. 317-332

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Stability Results and Strong Invariance Principles for Partial Sums of Banach Space Valued Random Variables

Einmahl, Uwe

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p. 333-352

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A Convergence Property for Conditional Expectation

Cornea, Aurel ; Loeb, Peter A.

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p. 353-356

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On the Three Series Theorem in Number Theory

de la Cal, Jesus

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p. 357-361

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Weak Convergence of Smoothed and Nonsmoothed Bootstrap Quantile Estimates

Falk, M. ; Reiss, R.-D.

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p. 362-371

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The Lattice Property of Uniform Amarts

Schmidt, Klaus D.

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p. 372-378

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A Note on Capacitary Measures of Semipolar Sets

Kanda, Mamoru

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p. 379-384

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A Theorem of Feller Revisited

Bai, Z. D.

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p. 385-395

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The Total Variation Distance Between the Binomial and Poisson Distributions

Kennedy, J. E. ; Quine, M. P.

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p. 396-400

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Exponential $L_2$ Convergence of Attractive Reversible Nearest Particle Systems

Liggett, Thomas M.

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p. 403-432

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Survival of Nearest-Particle Systems with Low Birth Rate

Bramson, Maury

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p. 433-443

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Statistical Mechanics of Crabgrass

Bramson, M. ; Durrett, R. ; Swindle, G.

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p. 444-481

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On the Existence of Self-Intersections for Quasi-Every Brownian Path in Space

Penrose, M. D.

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p. 482-502

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Multiple Points of Levy Processes

Gall, Jean-Francois Le ; Rosen, Jay S. ; Shieh, Narn-Rueih

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p. 503-515

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Brownian Local Time Approximated by a Wiener Sheet

Csaki, E. ; Csorgo, M. ; Foldes, A. ; Revesz, P.

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p. 516-537

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Some Limit Theorems for Functionals of the Brownian Sheet

Epstein, Raisa

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p. 538-558

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The Averaging Principle for Diffusions with a Small Parameter in the Case of a Noncharacteristic Boundary

Pinsky, Ross

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p. 559-572

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Time Inhomogeneous Markov Processes and the Polarity of Single Points

Mountford, T. S.

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p. 573-585

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Stopping Times and Tightness. II

Aldous, David

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p. 586-595

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Comparison Theorems, Random Geometry and Some Limit Theorems for Empirical Processes

Ledoux, M. ; Talagrand, M.

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p. 596-631

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The Maximum of a Gaussian Process with Nonconstant Variance: A Sharp Bound for the Distribution Tail

Berman, Simeon M. ; Kono, Norio

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p. 632-650

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Estimates of the Rate of Convergence for Max-Stable Processes

de Haan, L. ; Rachev, S. T.

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p. 651-677

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Records in a Partially Ordered Set

Goldie, Charles M. ; Resnick, Sidney

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p. 678-699

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Sharp Rates for Increments of Renewal Processes

Deheuvels, Paul ; Steinebach, Josef

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p. 700-722

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A Renewal Theory with Varying Drift

Zhang, Cun-Hui

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p. 723-736

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Characterization of the Cluster Set of the LIL Sequence in Banach Space

Alexander, Kenneth S.

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p. 737-759

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The Law of the Iterated Logarithm for $B$-Valued Random Variables with Multidimensional Indices

Li, Deli ; Wu, Zhiquan

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p. 760-774

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Rates for the CLT Via New Ideal Metrics

Rachev, S. T. ; Yukich, J. E.

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p. 775-788

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Sums of Independent Random Variables in Rearrangement Invariant Function Spaces

Johnson, William B. ; Schechtman, G.

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p. 789-808

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On a Problem of Csorgo and Revesz

Shao, Qi-Man

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p. 809-812

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Kolmogorov's Early Work on Convergence Theory and Foundation

Doob, J. L.

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p. 815-821

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Kolmogorov and the Theory of Markov Processes

Dynkin, E. B.

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p. 822-832

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Kolmogorov's Work on Ergodic Theory

Sinai, Ya. G.

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p. 833-839

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Kolmogorov's Contributions to Information Theory and Algorithmic Complexity

Cover, Thomas M. ; Gacs, Peter ; Gray, Robert M.

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p. 840-865

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Kolmogorov: Life and Creative Activities

Shiryaev, A. N.

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p. 866-944

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Publications of A. N. Kolmogorov

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p. 945-964

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Further Asymptotic Laws of Planar Brownian Motion

Pitman, Jim ; Yor, Marc

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p. 965-1011

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Cut Points on Brownian Paths

Burdzy, Krzysztof

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p. 1012-1036

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On the Onsager-Machlup Functional of Diffusion Processes Around Non $C^2$ Curves

Zeitouni, Ofer

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p. 1037-1054

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The Minimal Eigenfunctions Characterize the Ornstein-Uhlenbeck Process

Taylor, J. C.

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p. 1055-1062

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Some "LIM INF" Results for Increments of a Wiener Process

Hanson, D. L. ; Russo, Ralph P.

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p. 1063-1082

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Stable Hydrodynamic Limit Fluctuations of a Critical Branching Particle System in a Random Medium

Dawson, Donald A. ; Fleischmann, Klaus ; Gorostiza, Luis G.

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p. 1083-1117

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On the Growth of the Multitype Supercritical Branching Process in a Random Environment

Cohn, Harry

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p. 1118-1123

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Large Deviation Results for a Class of Markov Chains Arising from Population Genetics

Morrow, Gregory J. ; Sawyer, Stanley

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p. 1124-1146

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Uniform Large Deviation Property of the Empirical Process of a Markov Chain

Ellis, Richard S. ; Wyner, Aaron D.

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p. 1147-1151

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The Erdos-Renyi Strong Law for Pattern Matching with a Given Proportion of Mismatches

Arratia, R. ; Waterman, M. S.

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p. 1152-1169

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Unusual Cluster Sets for the LIL Sequence in Banach Space

Alexander, Kenneth S.

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p. 1170-1185

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Asymptotic Normality and Subsequential Limits of Trimmed Sums

Griffin, Philip S. ; Pruitt, William E.

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p. 1186-1219

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Donsker's Invariance Principle for Lie Groups

Watkins, Joseph C.

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p. 1220-1242

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Maximizing $E \max_{1 \leq k \leq n} S^+_k/ES^+_n$: A Prophet Inequality for Sums of I.I.D. Mean Zero Variates

Klass, Michael J.

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p. 1243-1247

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Heat Semigroup on a Complete Riemannian Manifold

Hsu, Pei

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p. 1248-1254

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Central Limit Theorems for Infinite Urn Models

Dutko, Michael

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p. 1255-1263

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Notes on the Wasserstein Metric in Hilbert Spaces

Cuesta, Juan Antonio ; Matran, Carlos

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p. 1264-1276

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The Correlation Length for the High-Density Phase of Bernoulli Percolation

Chayes, J. T. ; Chayes, L. ; Grimmett, G. R. ; Kesten, H. ; Schonmann, R. H.

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p. 1277-1302

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The Contact Process on a Finite Set. III: The Critical Case

Durrett, Richard ; Schonmann, Roberto H. ; Tanaka, Nelson I.

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p. 1303-1321

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The Central Limit Theorem for the Right Edge of Supercritical Oriented Percolation

Kuczek, Thomas

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p. 1322-1332

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Coalescing Random Walks and Voter Model Consensus Times on the Torus in $\mathbb{Z}^d$

Cox, J. T.

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p. 1333-1366

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The Infinite Self-Avoiding Walk in High Dimensions

Lawler, Gregory F.

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p. 1367-1376

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Windings of Random Walks

Belisle, Claude

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p. 1377-1402

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Uniqueness of the Infinite Cluster for Stationary Gibbs States

Gandolfi, Alberto

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p. 1403-1415

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Uniqueness of Gibbs Measures and Absorption Probabilities

Berbee, Henry

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p. 1416-1431

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Continuity Properties for Random Fields

Kent, John T.

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p. 1432-1440

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On Independence and Conditioning On Wiener Space

Ustunel, Ali Suleyman ; Zakai, Moshe

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p. 1441-1453

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Uniform Dimension Results for the Brownian Sheet

Mountford, T. S.

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p. 1454-1462

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On the Extinction of Measure-Valued Critical Branching Brownian Motion

Liu, Li ; Mueller, Carl

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p. 1463-1465

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Geometric Growth in Near-Supercritical Population Size Dependent Multitype Galton-Watson Processes

Klebaner, Fima C.

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p. 1466-1477

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A Sufficient Condition for Two Markov Semigroups to Commute

Bequillard, A. L.

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p. 1478-1482

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A Limit Theorem for a Class of Inhomogeneous Markov Processes

Chiang, Tzuu-Shuh ; Chow, Yunshyong

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p. 1483-1502

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An Asymptotic Evaluation of the Tail of a Multiple Symmetric $\alpha$- Stable Integral

Samorodnitsky, Gennady ; Szulga, Jerzy

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p. 1503-1520

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Sur Une Integrale Pour Les Processus A $\alpha$-Variation Bornee

Bertoin, Jean

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p. 1521-1535

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On the Relation Between the Stratonovich and Ogawa Integrals

Nualart, D. ; Zakai, M.

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p. 1536-1540

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A Comparison Theorem for Stochastic Equations with Volterra Drifts

Tudor, Constantin

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p. 1541-1545

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Isoperimetry and Integrability of the Sum of Independent Banach-Space Valued Random Variables

Talagrand, Michel

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p. 1546-1570

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Self-Normalized Laws of the Iterated Logarithm

Griffin, Philip S. ; Kuelbs, James D.

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p. 1571-1601

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Edgeworth Expansions in Functional Limit Theorems

Gotze, F.

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p. 1602-1634

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Tail Triviality for Sums of Stationary Random Variables

Berbee, H. C. P. ; Hollander, W. Th. F. Den

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p. 1635-1645

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On Normal Approximations of Distributions in Terms of Dependency Graphs

Baldi, Pierre ; Rinott, Yosef

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p. 1646-1650

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On a Problem of H. P. McKean: Independence of Brownian Hitting Times and Places

Pitt, Loren D.

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p. 1651-1657

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Coding a Stationary Process to One with Prescribed Marginals

Alpern, S. ; Prasad, V. S.

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p. 1658-1663

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Fisher Information and Dichotomies in Equivalence/Contiguity

Thelen, Brian J.

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p. 1664-1690

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Dynamic, Transient and Stationary Behavior of the $M/GI/1$ Queue Via Martingales

Baccelli, Francois ; Makowski, Armand M.

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p. 1691-1699

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