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Classical and Modern Branching Processes

  • Book
  • © 1997

Overview

Editors:
  1. Krishna B. Athreya

    1. Department of Mathematics and Statistics, Iowa State University, Ames, USA

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  2. Peter Jagers

    1. School of Mathematics and Computing Science, Chalmers University of Technology, Gothenburg University, Gothenburg, Sweden

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 84)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Large Deviation Rates for Supercritical and Critical Branching Processes

    • K. B. Athreya, A. N. Vidyashankar
    Pages 1-18

  3. How Fast Does a General Branching Random Walk Spread?

    • J. D. Biggins
    Pages 19-39

  4. Boltzmann-Gibbs Weights in the Branching Random Walk

    • B. Chauvin, A. Rouault
    Pages 41-50

  5. Stochastic Monotonicity and Branching Processes

    • Harry Cohn
    Pages 51-56

  6. Multilevel Multitype Branching Models of an Information System

    • D. A. Dawson, Y. Wu
    Pages 57-72

  7. On the Shape of the Wavefront of Branching Random Walk

    • F. M. Dekking, E. R. Speer
    Pages 73-88

  8. Limiting Distributions in Branching Processes with Two Types of Particles

    • Michael Drmota, Vladimir Vatutin
    Pages 89-110

  9. Depth—First Search of Random Trees, and Poisson Point Processes

    • J. Geiger, G. Kersting
    Pages 111-126

  10. Towards Dependence in General Branching Processes

    • Peter Jagers
    Pages 127-139

  11. A Criterion of Boundedness of Discrete Branching Random Walk

    • F. I. Karpelevich, Y. M. Suhov
    Pages 141-155

  12. Quasistationarity in a Branching Model of Division-Within-Division

    • Marek Kimmel
    Pages 157-164

  13. Population and Density Dependent Branching Processes

    • F. C. Klebaner
    Pages 165-169

  14. Directed Polymers in Random Media and Spin Glass Models on Trees

    • F. Koukiou
    Pages 171-179

  15. A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes

    • Thomas Kurtz, Russell Lyons, Robin Pemantle, Yuval Peres
    Pages 181-185

  16. On Two Measures Defined on the Boundary of a Branching Tree

    • Quansheng Liu, Alain Rouault
    Pages 187-201

  17. Which Critically Branching Populations Persist?

    • J. Alfredo López-Mimbela, Anton Wakolbinger
    Pages 203-216

  18. A Simple Path to Biggins’ Martingale Convergence for Branching Random Walk

    • Russell Lyons
    Pages 217-221

  19. Unsolved Problems Concerning Random Walks on Trees

    • Russell Lyons, Robin Pemantle, Yuval Peres
    Pages 223-237

  20. Branching Processes with Local Dependencies

    • Peter Olofsson
    Pages 239-255
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Keywords

About this book

This IMA Volume in Mathematics and its Applications CLASSICAL AND MODERN BRANCHING PROCESSES is based on the proceedings with the same title and was an integral part of the 1993-94 IMA program on "Emerging Applications of Probability." We would like to thank Krishna B. Athreya and Peter J agers for their hard work in organizing this meeting and in editing the proceedings. We also take this opportunity to thank the National Science Foundation, the Army Research Office, and the National Security Agency, whose financial support made this workshop possible. A vner Friedman Robert Gulliver v PREFACE The IMA workshop on Classical and Modern Branching Processes was held during June 13-171994 as part of the IMA year on Emerging Appli­ cations of Probability. The organizers of the year long program identified branching processes as one of the active areas in which a workshop should be held. Krish­ na B. Athreya and Peter Jagers were asked to organize this. The topics covered by the workshop could broadly be divided into the following areas: 1. Tree structures and branching processes; 2. Branching random walks; 3. Measure valued branching processes; 4. Branching with dependence; 5. Large deviations in branching processes; 6. Classical branching processes.

Editors and Affiliations

  • Department of Mathematics and Statistics, Iowa State University, Ames, USA

    Krishna B. Athreya

  • School of Mathematics and Computing Science, Chalmers University of Technology, Gothenburg University, Gothenburg, Sweden

    Peter Jagers

Bibliographic Information

  • Book Title: Classical and Modern Branching Processes

  • Editors: Krishna B. Athreya, Peter Jagers

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4612-1862-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-94872-0Published: 07 November 1996

  • Softcover ISBN: 978-1-4612-7315-8Published: 06 October 2012

  • eBook ISBN: 978-1-4612-1862-3Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XI, 342

  • Topics: Probability Theory and Stochastic Processes

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