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Perplexing Problems in Probability pp 269–284Cite as

Rescaled Particle Systems Converging to Super-Brownian Motion

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

Abstract

Super-Brownian motion was originally constructed as a scaling limit of branching random walk. Here we describe recent results which show that, in two or more dimensions, it is also the limit of long range contact processes and long, short, and medium range voter models.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA

    Ted Cox

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

    Richard Durrett

  3. Department of Mathematics, The University of British Columbia, Vancouver, BC, V6T 1Z2, Canada

    Edwin A. Perkins

Authors
  1. Ted Cox
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  2. Richard Durrett
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  3. Edwin A. Perkins
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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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Cox, T., Durrett, R., Perkins, E.A. (1999). Rescaled Particle Systems Converging to Super-Brownian Motion. 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_15

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  • DOI: https://doi.org/10.1007/978-1-4612-2168-5_15

  • 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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