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Probability on Discrete Structures

Language EnglishEnglish
Book Paperback
Book Probability on Discrete Structures Harry Kesten
Libristo code: 01650995
Publishers Springer, Berlin, October 2010
Most probability problems involve random variables indexed by space and/or time. These problems almo... Full description
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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.

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About the book

Full name Probability on Discrete Structures
Language English
Binding Book - Paperback
Date of issue 2010
Number of pages 351
EAN 9783642056475
ISBN 3642056474
Libristo code 01650995
Publishers Springer, Berlin
Weight 550
Dimensions 155 x 235 x 19
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