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Spatial Stochastic Processes

A Festschrift in Honor of Ted Harris on his Seventieth Birthday

  • Book
  • © 1991

Overview

Editors:
  1. Kenneth S. Alexander

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

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  2. Joseph C. Watkins

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

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Probability (PRPR, volume 19)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xii
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  2. Branching Processes

    1. Front Matter

      Pages 1-1
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    2. Branching Random Walk

      • Peter Ney
      Pages 3-22

    3. Some Remarks on the Theory of Critical Branching Random Walk

      • J. T. Cox
      Pages 23-33

  3. Percolation

    1. Front Matter

      Pages 35-35
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    2. Dynamic Renormalization and Continuity of the Percolation Transition in Orthants

      • David J. Barsky, Geoffrey R. Grimmett, Charles M. Newman
      Pages 37-55

    3. Asymptotics in High Dimensions For the Fortuin-Kasteleyn Random Cluster Model

      • Harry Kesten
      Pages 57-85

  4. Interacting Particle Systems

    1. Front Matter

      Pages 87-87
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    2. On the Asymptotics of the Spin-Spin Autocorrelation Function In Stochastic Ising Models Near the Critical Temperature

      • Richard Holley
      Pages 89-104

    3. Spatially Inhomogeneous Contact Processes

      • Thomas M. Liggett
      Pages 105-140

    4. A New Method for Proving the Existence of Phase Transitions

      • Rick Durrett
      Pages 141-169

    5. Cyclic Cellular Automata in Two Dimensions

      • Robert Fisch, Janko Gravner, David Griffeath
      Pages 171-185

  6. Back Matter

    Pages 257-258
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Keywords

About this book

This volume has been created in honor of the seventieth birthday of Ted Harris, which was celebrated on January 11th, 1989. The papers rep­ resent the wide range of subfields of probability theory in which Ted has made profound and fundamental contributions. This breadth in Ted's research complicates the task of putting together in his honor a book with a unified theme. One common thread noted was the spatial, or geometric, aspect of the phenomena Ted investigated. This volume has been organized around that theme, with papers covering four major subject areas of Ted's research: branching processes, percola­ tion, interacting particle systems, and stochastic flows. These four topics do not· exhaust his research interests; his major work on Markov chains is commemorated in the standard technology "Harris chain" and "Harris recurrent" . The editors would like to take this opportunity to thank the speakers at the symposium and the contributors to this volume. Their enthusi­ astic support is a tribute to Ted Harris. We would like to express our appreciation to Annette Mosley for her efforts in typing the manuscripts and to Arthur Ogawa for typesetting the volume. Finally, we gratefully acknowledge the National Science Foundation and the University of South­ ern California for their financial support.

Editors and Affiliations

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

    Kenneth S. Alexander, Joseph C. Watkins

Bibliographic Information

  • Book Title: Spatial Stochastic Processes

  • Book Subtitle: A Festschrift in Honor of Ted Harris on his Seventieth Birthday

  • Editors: Kenneth S. Alexander, Joseph C. Watkins

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-1-4612-0451-0

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

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

  • Hardcover ISBN: 978-0-8176-3477-3Published: 01 January 1991

  • Softcover ISBN: 978-1-4612-6766-9Published: 10 October 2012

  • eBook ISBN: 978-1-4612-0451-0Published: 06 December 2012

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: XII, 258

  • Topics: Probability Theory and Stochastic Processes

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