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  • © 1991

Random Walks, Brownian Motion, and Interacting Particle Systems

A Festschrift in Honor of Frank Spitzer

Birkhäuser

Editors:

(view affiliations)

Part of the book series: Progress in Probability (PRPR, volume 28)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xii
  2. Reprints of Frank Spitzer

    1. Front Matter

      Pages 1-1
    2. Interaction of Markov Processes

      • Frank Spitzer
      Pages 66-110
  3. Papers Dedicated to Frank Spitzer

    1. Front Matter

      Pages 111-111
    2. A Useful Renormalization Argument

      • Maury Bramson, Lawrence Gray
      Pages 113-152
    3. Capture Problems For Coupled Random Walks

      • Maury Bramson, David Griffeath
      Pages 153-188
    4. Nonlinear Voter Models

      • J. T. Cox, R. Durrett
      Pages 189-201
    5. Large Deviation Lower Bounds For General Sequences Of Random Variables

      • A. deAcosta, P. Ney, E. Nummelin
      Pages 215-221
    6. Asymptotic Laplace-Transforms

      • Hermann Dinges
      Pages 223-230
    7. Making Money From Fair Games

      • R. Durrett, H. Kesten, G. Lawler
      Pages 255-267
    8. Interacting Systems, Stirrings, and Flows

      • T. E. Harris
      Pages 283-293
    9. The One Dimensional Stochastic X-Y Model

      • Richard Holley
      Pages 295-307

About this book

This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.

Keywords

  • Brownian motion
  • Gibbs state
  • Markov process
  • Probability theory
  • Random variable
  • contact process
  • diffusion process
  • interacting particle system
  • random walk

Editors and Affiliations

  • Department of Mathematics, Cornell University, Ithaca, USA

    Rick Durrett, Harry Kesten

Bibliographic Information

  • Book Title: Random Walks, Brownian Motion, and Interacting Particle Systems

  • Book Subtitle: A Festschrift in Honor of Frank Spitzer

  • Editors: Rick Durrett, Harry Kesten

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-1-4612-0459-6

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1991

  • Hardcover ISBN: 978-0-8176-3509-1

  • Softcover ISBN: 978-1-4612-6770-6

  • eBook ISBN: 978-1-4612-0459-6

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: XII, 455

  • Topics: Probability Theory

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-1-4612-0459-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 139.99
Price excludes VAT (USA)
Hardcover Book
USD 159.99
Price excludes VAT (USA)