Percolation Theory and Ergodic Theory of Infinite Particle Systems

  • Harry Kesten

Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 8)

Table of contents

  1. Front Matter
    Pages i-xi
  2. M. Aizenman, H. Kesten, C. M. Newman
    Pages 13-20
  3. Maury Bramson, David Griffeath
    Pages 21-29
  4. J. Theodore Cox, David Griffeath
    Pages 73-83
  5. R. Durrett, R. H. Schonmann
    Pages 85-119
  6. Sheldon Goldstein
    Pages 121-129
  7. Richard Holley
    Pages 187-202
  8. Thomas M. Liggett
    Pages 213-227
  9. Roberto H. Schonmann
    Pages 245-250

About this book

Introduction

This IMA Volume in ~athematics and its Applications PERCOLATION THEORY AND ERGODIC THEORY OF INFINITE PARTICLE SYSTEMS represents the proceedings of a workshop which was an integral part of the 19R4-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS We are grateful to the Scientific Committee: naniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaoo for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizing Committee, Harry Kesten (Chairman), Richard Holley, and Thomas Liggett for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinherger PREFACE Percolation theory and interacting particle systems both have seen an explosive growth in the last decade. These suhfields of probability theory are closely related to statistical mechanics and many of the publications on these suhjects (especially on the former) appear in physics journals, wit~ a great variahility in the level of rigour. There is a certain similarity and overlap hetween the methods used in these two areas and, not surprisingly, they tend to attract the same probabilists. It seemed a good idea to organize a workshop on "Percolation Theory and Ergodic Theory of Infinite Particle Systems" in the framework of the special probahility year at the Institute for Mathematics and its Applications in 1985-86. Such a workshop, dealing largely with rigorous results, was indeed held in February 1986.

Keywords

Parameter Rang contact process ergodic theory fractal random walk stochastic equation

Editors and affiliations

  • Harry Kesten
    • 1
  1. 1.Institute for Mathematics and Its ApplicationsMinneapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8734-3
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8736-7
  • Online ISBN 978-1-4613-8734-3
  • Series Print ISSN 0940-6573
  • About this book