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The Hausdorff Measure of the Range of Super-Brownian Motion

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Perplexing Problems in Probability

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

Abstract

In dimension d ≥ 4, the total occupation measure of super-Brownian motion coincides with the restriction of a Hausdorff measure to the range of the process. A similar result holds for the random measure called ISE.

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Author information

Authors and Affiliations

  1. DMI, Ecole Normale Supérieure, 45, rue d’ Ulm, 75005, Paris, France

    Jean-François Le Gall

Authors
  1. Jean-François Le Gall
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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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Le Gall, JF. (1999). The Hausdorff Measure of the Range of 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_16

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  • DOI: https://doi.org/10.1007/978-1-4612-2168-5_16

  • 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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