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Branching Random Walks on Finite Trees

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Perplexing Problems in Probability

Part of the book series: Progress in Probability ((PRPR,volume 44))

Abstract

Consider a branching random walk on the ball of radius N in a homogeneous tree. We obtain precise asymptotics on the critical value and on the extinction time (in critical and subcritical cases) as N → ∞.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, CA, 90095-1555, USA

    Thomas M. Liggett

Authors
  1. Thomas M. Liggett
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Maury Bramson

  2. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    Rick Durrett

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© 1999 Birkhäuser Boston

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Liggett, T.M. (1999). Branching Random Walks on Finite Trees. In: Bramson, M., Durrett, R. (eds) Perplexing Problems in Probability. Progress in Probability, vol 44. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2168-5_17

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  • DOI: https://doi.org/10.1007/978-1-4612-2168-5_17

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7442-1

  • Online ISBN: 978-1-4612-2168-5

  • eBook Packages: Springer Book Archive

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