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Interacting Particle Systems

  • Book
  • © 1985

Overview

Authors:
  1. Thomas M. Liggett

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

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 276)

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Table of contents (10 chapters)

  1. Front Matter

    Pages iii-xiii
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  2. Introduction

    • Thomas M. Liggett
    Pages 1-5

  3. The Construction, and Other General Results

    • Thomas M. Liggett
    Pages 6-63

  4. Some Basic Tools

    • Thomas M. Liggett
    Pages 64-121

  5. Spin Systems

    • Thomas M. Liggett
    Pages 122-178

  6. Stochastic Ising Models

    • Thomas M. Liggett
    Pages 179-225

  7. The Voter Model

    • Thomas M. Liggett
    Pages 226-263

  8. The Contact Process

    • Thomas M. Liggett
    Pages 264-314

  9. Nearest-Particle Systems

    • Thomas M. Liggett
    Pages 315-360

  10. The Exclusion Process

    • Thomas M. Liggett
    Pages 361-417

  11. Linear Systems with Values in [0, ∞)s

    • Thomas M. Liggett
    Pages 418-469

  12. Back Matter

    Pages 470-488
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Keywords

About this book

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.

Authors and Affiliations

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

    Thomas M. Liggett

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