Interacting Particle Systems

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Interacting Particle Systems

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Author : Thomas M. Liggett
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-17

Interacting Particle Systems written by Thomas M. Liggett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-17 with Mathematics categories.

From the reviews "This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fifteen years. None of this material has ever appeared in book form before. The high quality of this work [...] makes a fascinating subject and its open problem as accessible as possible." Mathematical Reviews

Random Walks Brownian Motion And Interacting Particle Systems

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Author : H. Kesten
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-06-01

Random Walks Brownian Motion And Interacting Particle Systems written by H. Kesten and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-01 with Mathematics categories.

This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.

Feynman Kac Formulae

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Author : Pierre Del Moral
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-30

Feynman Kac Formulae written by Pierre Del Moral and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-30 with Mathematics categories.

This text takes readers in a clear and progressive format from simple to recent and advanced topics in pure and applied probability such as contraction and annealed properties of non-linear semi-groups, functional entropy inequalities, empirical process convergence, increasing propagations of chaos, central limit, and Berry Esseen type theorems as well as large deviation principles for strong topologies on path-distribution spaces. Topics also include a body of powerful branching and interacting particle methods.

Interacting Particle Systems

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Author : Thomas M. Liggett
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-09

Interacting Particle Systems written by Thomas M. Liggett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-09 with Mathematics categories.

From the reviews "[...] This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fifteen years. None of this material has ever appeared in book form before. ...The high quality of this work, [...] , makes a fascinating subject and its open problem as accessible as possible. [...]" F.L. Spitzer in Mathematical Reviews, 1986 "[...] However, it can be said that the author has succeeded in what even experts are seldom able to achieve: To write a clearcut and inspiring book on his favorite subject which meets most, if not all requirements which can be imposed on a comprehensive text on an important new field. The author can be congratulated on his excellent presentation of the theory of interacting particle systems. The book is highly recommended to everyone who works on or is interested in this subject: to probabilists, physicists and theoretical biologists. [...]" G. Rosenkranz in Methods of Information in Medicine, 1986

Large Scale Dynamics Of Interacting Particles

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Author : Herbert Spohn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Large Scale Dynamics Of Interacting Particles written by Herbert Spohn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles. This book addresses both researchers and students. Much of the material presented has never been published in book-form before.

Stochastic Interacting Systems Contact Voter And Exclusion Processes

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Author : Thomas M. Liggett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Stochastic Interacting Systems Contact Voter And Exclusion Processes written by Thomas M. Liggett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.

Canonical Gibbs Measures

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Author : H. O. Georgii
language : en
Publisher: Springer
Release Date : 2006-11-15

Canonical Gibbs Measures written by H. O. Georgii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

From Markov Chains To Non Equilibrium Particle Systems

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Author : Mufa Chen
language : en
Publisher: World Scientific
Release Date : 2004

From Markov Chains To Non Equilibrium Particle Systems written by Mufa Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction-diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students.

Interacting Particle Systems

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Author : T.M. Liggett
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Interacting Particle Systems written by T.M. Liggett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

At what point in the development of a new field should a book be written about it? This question is seldom easy to answer. In the case of interacting particle systems, important progress continues to be made at a substantial pace. A number of problems which are nearly as old as the subject itself remain open, and new problem areas continue to arise and develop. Thus one might argue that the time is not yet ripe for a book on this subject. On the other hand, this field is now about fifteen years old. Many important of several basic models is problems have been solved and the analysis almost complete. The papers written on this subject number in the hundreds. It has become increasingly difficult for newcomers to master the proliferating literature, and for workers in allied areas to make effective use of it. Thus I have concluded that this is an appropriate time to pause and take stock of the progress made to date. It is my hope that this book will not only provide a useful account of much of this progress, but that it will also help stimulate the future vigorous development of this field.

Interacting Particle Systems

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Author : Thomas Milton Liggett
language : en
Publisher:
Release Date : 1983

Interacting Particle Systems written by Thomas Milton Liggett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.