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Random Walks, Brownian Motion, and Interacting Particle Systems

A Festschrift in Honor of Frank Spitzer

  • Rick Durrett
  • Harry Kesten

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Reprints of Frank Spitzer

  3. Papers Dedicated to Frank Spitzer

    1. Front Matter
      Pages 111-111
    2. Maury Bramson, Lawrence Gray
      Pages 113-152
    3. Maury Bramson, David Griffeath
      Pages 153-188
    4. J. T. Cox, R. Durrett
      Pages 189-201
    5. A. deAcosta, P. Ney, E. Nummelin
      Pages 215-221
    6. Hermann Dinges
      Pages 223-230
    7. R. Durrett, H. Kesten, G. Lawler
      Pages 255-267
    8. T. E. Harris
      Pages 283-293
    9. Richard Holley
      Pages 295-307
    10. Thomas M. Liggett
      Pages 339-358
    11. Sidney C. Port
      Pages 373-388
    12. William E. Pruitt
      Pages 389-398
    13. Norma Terrin, Murad S. Taqqu
      Pages 425-440
  4. Back Matter
    Pages 457-458

About this book

Introduction

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

  • Rick Durrett
    • 1
  • Harry Kesten
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0459-6
  • Copyright Information Springer Science+Business Media New York 1991
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6770-6
  • Online ISBN 978-1-4612-0459-6
  • Buy this book on publisher's site