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Probability on Discrete Structures

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Description

Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.
Release date Australia
December 8th, 2010
Audience
  • Professional & Vocational
Contributors
  • Contributions by C. Douglas Howard
  • Contributions by David Aldous
  • Contributions by Fabio Martinelli
  • Contributions by Geoffrey R. Grimmett
  • Contributions by J. Michael Steele
  • Contributions by Laurent Saloff-Coste
  • Edited by Harry Kesten
Edition
Softcover reprint of hardcover 1st ed. 2004
Illustrations
IX, 351 p.
Pages
351
Dimensions
156x234x19
ISBN-13
9783642056475
Product ID
8939079

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