Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

  • Thomas M. Liggett

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 324)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Thomas M. Liggett
    Pages 1-30
  3. Thomas M. Liggett
    Pages 31-137
  4. Thomas M. Liggett
    Pages 139-208
  5. Thomas M. Liggett
    Pages 209-316
  6. Back Matter
    Pages 317-335

About this book

Introduction

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.

Keywords

Exclusion Process Interacting Particle Systems Probability theory Voter Model contact process interacting particle system mathematical physics

Authors and affiliations

  • Thomas M. Liggett
    • 1
  1. 1.Mathematics DepartmentUniversity of CaliforniaLos AngelesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03990-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08529-1
  • Online ISBN 978-3-662-03990-8
  • Series Print ISSN 0072-7830
  • About this book