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# Probability on Discrete Structures

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Probability on Discrete Structures

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Most probability problems involve random variables indexed by space andor time. These problems almost alwayshavea version in which space andor 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 ...

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**ISBN-13:**9783642056475**ISBN-10:**3642056474**Publisher:**Springer-Verlag Berlin and Heidelberg GmbH & Co. K**Media:**Paperback**Quantity Available:**10 or more**Status:**Available for Immediate Shipment

Most probability problems involve random variables indexed by space andor time. These problems almost alwayshavea version in which space andor 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.

**ISBN-13 :**9783642056475**ISBN-10 :**3642056474**Media :**Paperback**Pages :**351**Status :**138 on hand

**Edition :**Softcover reprint of hardcover 1st ed. 2004**Pages :**351**Release Date :**2010-12-08**Categories :**Statistics

**Contributor :**David Aldous, Geoffrey R. Grimmett, J. Michael Steele, Laurent Saloff-Coste, Fabio Martinelli, C. Douglas Howard**Editor :**Harry Kesten