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Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

  • Book
  • © 1999

Overview

Authors:
  1. Thomas M. Liggett

    1. Mathematics Department, University of California, Los Angeles, USA

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XII
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  2. Background and Tools

    • Thomas M. Liggett
    Pages 1-30

  3. Contact Processes

    • Thomas M. Liggett
    Pages 31-137

  4. Voter Models

    • Thomas M. Liggett
    Pages 139-208

  5. Exclusion Processes

    • Thomas M. Liggett
    Pages 209-316

  6. Back Matter

    Pages 317-335
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Keywords

About this book

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.

Authors and Affiliations

  • Mathematics Department, University of California, Los Angeles, USA

    Thomas M. Liggett

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