Sommaire du Fascicule no. 1

The Limits of Stochastic Integrals of Differential Forms

Lyons, Terry ; Stoica, Lucretiu

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p. 1-49

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Stochastic Bifurcation Models

Bass, Richard F. ; Burdzy, Krzysztof

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p. 50-108

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On the Spatial Asymptotic Behavior of Stochastic Flows in Euclidean Space

Imkeller, Peter ; Scheutzow, Michael

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p. 109-129

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Rotation Numbers For Linear Stochastic Differential Equations

Arnold, Ludwig ; Imkeller, Peter

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p. 130-149

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Slow Points and Fast Points of Local Times

Marsalle, Laurence

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p. 150-165

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Particle Representations for Measure-Valued Population Models

Donnelly, Peter ; Kurtz, Thomas G.

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p. 166-205

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Growth Profile and Invariant Measures for the Weakly Supercritical Contact Process on a Homogeneous Tree

Lalley, Steven P.

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p. 206-225

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The Complete Convergence Theorem for Coexistent Threshold Voter Models

Handjani, Shirin J.

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p. 226-245

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A Strong Law for the Longest Edge of the Minimal Spanning Tree

Penrose, Mathew D.

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p. 246-260

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The SDE Solved By Local Times of a Brownian Excursion or Bridge Derived From the Height Profile of a Random Tree or Forest

Pitman, Jim

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p. 261-283

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On Large Deviations in the Averaging Principle for SDEs with a “Full Dependence”

Veretennikov, A. Yu.

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p. 284-296

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Spatializing Random Measures: Doubly Indexed Processes and the Large Deviation Principle

Boucher, Christopher ; Ellis, Richard S. ; Turkington, Bruce

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p. 297-324

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Relaxation to Equilibrium of Conservative Dynamics. I: Zero-Range Processes

Janvresse, E. ; Landim, C. ; Quastel, J. ; Yau, H. T.

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p. 325-360

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Existence of Hydrodynamics for the Totally Asymmetric Simple K-Exclusion Process

Seppäläinen, Timo

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p. 361-415

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The Size of Singular Component and Shift Inequalities

Bobkov, S. G.

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p. 416-431

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Sub-Bernoulli Functions, Moment Inequalities and Strong Laws for Nonnegative and symmetrized U-Statistics

Zhang, Cun-Hui

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p. 432-453

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Optimal Bounds in Non-Gaussian Limit Theorems for U-Statistics

Bentkus, V. ; Götze, F.

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p. 454-521

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The Maximum of the Periodogram of a Non-Gaussian Sequence

Davis, Richard A. ; Mikosch, Thomas

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p. 522-536

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A General Class of Exponential Inequalities for Martingales and Ratios

de la Peña, Victor H.

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p. 537-564

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Compound Poisson Approximation for Markov Chains using Stein’s Method

Erhardsson, Torkel

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p. 565-596

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The Stable Manifold Theorem for Stochastic Differential Equations

Mohammed, Salah-Eldin A. ; Scheutzow, Michael K. R.

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p. 615-652

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Harnack Inequalities for Log-Sobolev Functions and Estimates of Log-Sobolev Constants

Wang, Feng-Yu

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p. 653-663

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Integration by Parts Formula and Logarithmic Sobolev Inequality on the Path Space Over Loop Groups

Fang, Shizan

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p. 664-683

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On the Construction and Support Properties of Measure-Valued Diffusions on $D \subseteq \mathbb{R}^d$ with Spatially Dependent Branching

Engländer, János ; Pinsky, Ross G.

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p. 684-730

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Characterization of $G$-Regularity for Super-Brownian Motion and Consequences for Parabolic Partial Differential Equations

Delmas, Jean-François ; Dhersin, Jean-Stéphane

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p. 731-750

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An Invariance Principle for Diffusion in Turbulence

Fannjiang, Albert ; Komorowski, Tomasz

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p. 751-781

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On the Stochastic Burgers’ Equation in the Real Line

Gyöngy, István ; Nualart, David

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p. 782-802

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A Stochastic Wave Equation in Two Space Dimension: Smoothness of the Law

Millet, Annie ; Sanz-Solé, Marta

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p. 803-844

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The Second Lowest Extremal Invariant Measure of the Contact Process II

Salzano, Marcia ; Schonmann, Roberto H.

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p. 845-875

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Robust Phase Transitions for Heisenberg and other Models on General Trees

Pemantle, Robin ; Steif, Jeffrey E.

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p. 876-912

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On the Norm and Eigenvalue Distribution of Large Random Matrices

Boutet de Monvel, Anne ; Khorunzhy, Alexei

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p. 913-944

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Palm Measure Duality and Conditioning in Regenerative Sets

Kallenberg, Olav

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p. 945-969

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Crossing Estimates and Convergence of Dirichlet Functions Along Random Walk and Diffusion Paths

Ancona, Alano ; Lyons, Russell ; Peres, Yuval

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p. 970-989

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Unusually Large Values for Spectrally Positive Stable and Related Processes

O’Brien, George L.

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p. 990-1008

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Central Limit Theorems for the Wasserstein Distance Between the Empirical and the True Distributions

del Barrio, Eustasio ; Giné, Evarist ; Matrán, Carlos

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p. 1009-1071

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Asymptotic Distribution of Quadratic Forms

Götze, F. ; Tikhomirov, A. N.

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p. 1072-1098

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Path Properties of Superprocesses with a General Branching Mechanism

Delmas, Jean-François

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p. 1099-1134

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Brownian Sheet and Capacity

Khoshnevisan, Davar ; Shi, Zhan

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p. 1135-1159

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Ratio Limit Theorems for a Brownian Motion Killed at the Boundary of a Benedicks Domain

Collet, Pierre ; Martínez, Servet ; San Martín, Jaime

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p. 1160-1182

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Gibbs Measures Relative to Brownian Motion

Osada, Hirofumi ; Spohn, Herbert

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p. 1183-1207

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Self-Diffusion for Brownian Motions with Local Interaction

Grigorescu, Ilie

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p. 1208-1267

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Uniqueness of the Tagged Particle Process in a System with Local Interactions

Grigorescu, Ilie

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p. 1268-1282

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Integrated Brownian Motion, Conditioned to be Positive

Groeneboom, Piet ; Jongbloed, Geurt ; Wellner, Jon A.

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p. 1283-1303

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Numérotation Des Records D'un Processus de Poisson Ponctuel (French) [The Numbering of Records of a Poisson Point Process]

Brossard, Jean ; Leuridan, Christophe

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p. 1304-1323

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How Often Does a Harris Recurrent Markov Chain Recur?

Chen, Xia

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p. 1324-1346

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Critical Percolation on Any Nonamenable Group has no Infinite Clusters

Benjamini, Itai ; Lyons, Russell ; Peres, Yuval ; Schramm, Oded

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p. 1347-1356

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Probabilistic Interpretation of Sticky Particle Model

Dermoune, Azzouz

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p. 1357-1367

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Vertex-Reinforced Random Walk on Z Has Finite Range

Pemantle, Robin ; Volkov, Stanislav

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p. 1368-1388

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Large Deviation Principle for Random Walk in a Quenched Random Environment in the Low Speed Regime

Pisztora, Agoston ; Povel, Tobias

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p. 1389-1413

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Typical Configurations for One-Dimensional Random Field Kac Model

Cassandro, Marzio ; Orlandi, Enza ; Picco, Pierre

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p. 1414-1467

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Asymptotic Behavior of Conditional Laws and Moments of $\infty$-Stable Random Vectors, with Application to Upcrossing Intensities

Albin, J. M. P. ; Leadbetter, M. R.

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p. 1468-1500

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On the Existence and Nonexistence of Finitary Codings for a Class of Random Fields

van den Berg, J. ; Steif, J. E.

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p. 1501-1522

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Renewal Theory for Embedded Regenerative Sets

Bertoin, Jean

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p. 1523-1535

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Exact Separation of Eigenvalues of Large Dimensional Sample Covariance Matrices

Bai, Z. D. ; Silverstein, Jack W.

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p. 1536-1555

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Approximation, Metric Entropy and Small Ball Estimates for Gaussian Measures

Li, Wenbo V. ; Linde, Werner

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p. 1556-1578

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On the Asymptotic Distributions of Partial Sums of Functionals of Infinite-Variance Moving Averages

Hsing, Tailen

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p. 1579-1599

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