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Intersections of Random Walks

Author: Gregory F. Lawler

Publisher: Springer Science & Business Media

ISBN: 9781461459729

Category: Mathematics

Page: 223

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A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally published in 1991, Intersections of Random Walks focuses on and explores a number of problems dealing primarily with the nonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics include: discrete harmonic measure, including an introduction to diffusion limited aggregation (DLA); the probability that independent random walks do not intersect; and properties of walks without self-intersections. The present softcover reprint includes corrections and addenda from the 1996 printing, and makes this classic monograph available to a wider audience. With a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probability and statistical physics and to graduate students interested in basic properties of random walks.
Intersections of Random Walks
Language: en
Pages: 223
Authors: Gregory F. Lawler
Categories: Mathematics
Type: BOOK - Published: 2012-11-06 - Publisher: Springer Science & Business Media

A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally
Statistical Mechanics and Random Walks
Language: en
Pages: 651
Authors: Abram Skogseid, Vicente Fasano
Categories: Mathematics
Type: BOOK - Published: 2011-10-01 - Publisher: Nova Science Pub Incorporated

In this book, the authors gather and present topical research in the study of statistical mechanics and random walk principles and applications. Topics discussed in this compilation include the application of stochastic approaches to modelling suspension flow in porous media; subordinated Gaussian processes; random walk models in biophysical science; non-equilibrium
Random Walks, Random Fields, and Disordered Systems
Language: en
Pages: 239
Authors: Anton Bovier, David Brydges, Amin Coja-Oghlan, Dmitry Ioffe, Gregory F. Lawler
Categories: Science
Type: BOOK - Published: 2015-09-21 - Publisher: Springer

Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random
A Random Walk in Physics
Language: en
Pages: 224
Authors: Massimo Cencini, Andrea Puglisi, Davide Vergni, Angelo Vulpiani
Categories: Science
Type: BOOK - Published: 2021-07-15 - Publisher: Springer

This book offers an informal, easy-to-understand account of topics in modern physics and mathematics. The focus is, in particular, on statistical mechanics, soft matter, probability, chaos, complexity, and models, as well as their interplay. The book features 28 key entries and it is carefully structured so as to allow readers
Sojourns in Probability Theory and Statistical Physics - III
Language: en
Pages: 341
Authors: Vladas Sidoravicius
Categories: Mathematics
Type: BOOK - Published: 2019-10-17 - Publisher: Springer Nature

Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which