Perplexing Problems in Probability

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ISBN: 9780817640934 | 0817640932
Cover: Hardcover
Copyright: 8/1/1999

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Discusses the research of Harry Kesten containing refined results on random walks and continuous time processes with stationary independent increments, then moves toward topics inspired by physics: random walks in random environment, diffusions with random coefficients and self- similar process. DLC: Probabilities.

Harry Kesten's Publications: A Personal Perspective

(34)

Rick Durrett

Lattice Trees, Percolation and Super-Brownian Motion

(18)

Gordon Slade

Percolation in ∞ + 1 Dimensions at the Uniqueness Threshold

(16)

Roberto H. Schonmann

Percolation on Transitive Graphs as a Coalescent Process: Relentless Merging Followed by Simultaneous Uniqueness

(22)

Olle Haggstrom

Yuval Peres

Roberto H. Schonmann

Inequalities and Entanglements for Percolation and Random-Cluster Models

(16)

Geoffrey R. Grimmett

From Greedy Lattice Animals to Euclidean First-Passage Percolation

107

(14)

C. Douglas Howard

Charles M. Newman

Reverse Shapes in First-Passage Percolation and Related Growth Models

121

(22)

Janko Gravner

David Griffeath

Double Behavior of Critical First-Passage Percolation

143

(16)

Yu Zhang

The van den Berg-Kesten-Reimer Inequality: A Review

159

(16)

C. Borgs

J.T. Chayes

D. Randall

Large Scale Degrees and the Number of Spanning Clusters for the Uniform Spanning Tree

175

(10)

Itai Benjamini

On the Absence of Phase Transition in the Monomer-Dimer Model

185

(12)

J. van den Berg

Loop-Erased Random Walk

197

(22)

Gregory F. Lawler

Dominance of the Sum over the Maximum and Some New Classes of Stochastic Compactness

219

(28)

P.S. Griffin

R.A. Maller

Stability and Heavy Traffic Limits for Queueing Networks

247

(22)

Maury Bramson

Rescaled Particle Systems Converging to Super-Brownian Motion

269

(16)

Ted Cox

Richard Durrett

Edwin A. Perkins

The Hausdorff Measure of the Range of Super-Brownian Motion

285

(30)

Jean-Francois Le Gall

Branching Random Walks on Finite Trees

315

(16)

Thomas M. Liggett

Toom's Stability Theorem in Continuous Time

331

(24)

Lawrence F. Gray

The Role of Explicit Space in Plant Competition Models

355

(18)

Claudia Neuhauser

Large Deviations for Interacting Particle Systems

373

(12)

S.R.S. Varadhan

The Gibbs Conditioning Principle for Markov Chains

385

Ana Meda

Peter Ney

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Perplexing Problems in Probability

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Table of Contents

Supplemental Materials