Probability on Discrete Structures
Harry Kesten, A.-S Sznitman, S ...
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Last edited by MARC Bot
September 29, 2024 | History

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.

Publish Date
Publisher
Springer
Language
English

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Edition Availability
Cover of: Probability on Discrete Structures
Probability on Discrete Structures
2013, Springer
in English
Cover of: Probability on Discrete Structures
Probability on Discrete Structures
Dec 08, 2010, Springer, Springer Berlin Heidelberg
paperback

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Book Details


Classifications

Library of Congress
QA273.A1-274.9

The Physical Object

Pagination
ix, 351

ID Numbers

Open Library
OL37424397M
ISBN 13
9783662094440

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