The IMA Volumes in Mathematics and its Applications

Percolation Theory and Ergodic Theory of Infinite Particle Systems

Editors: Kesten, Harry (Ed.)

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About this book

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.

Table of contents (18 chapters)

Table of contents (18 chapters)
  • Rapid Convergence to Equilibrium of Stochastic Ising Models in the Dobrushin Shlosman Regime

    Pages 1-11

    Aizenman, M. (et al.)

  • Uniqueness of the Infinite Cluster and Related Results in Percolation

    Pages 13-20

    Aizenman, M. (et al.)

  • Survival of Cyclical Particle Systems

    Pages 21-29

    Bramson, Maury (et al.)

  • Expansions in Statistical Mechanics as Part of the Theory of Partial Differential Equations

    Pages 31-47

    Brydges, D. C.

  • The Mean Field Bound for the Order Parameter of Bernoulli Percolation

    Pages 49-71

    Chayes, J. T. (et al.)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-1-4613-8734-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA in USD
  • ISBN 978-1-4613-8736-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Percolation Theory and Ergodic Theory of Infinite Particle Systems
Editors
  • Harry Kesten
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
8
Copyright
1987
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4613-8734-3
DOI
10.1007/978-1-4613-8734-3
Softcover ISBN
978-1-4613-8736-7
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XI, 323
Number of Illustrations
58 b/w illustrations
Topics