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The level sets of iterated Brownian motion

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Séminaire de Probabilités XXIX

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1613))

Abstract

We show that the Hausdorff dimension of every level set of iterated Brownian motion is equal to 3/4.

Research supported in part by NSF grant DMS 91-00244 and AMS Centennial Research Fellowship

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98195, Seattle, WA

    Krzysztof Burdzy

  2. Department of Mathematics, University of Utah, 84112, Salt Lake City, UT

    Davar Khoshnevisan

Authors
  1. Krzysztof Burdzy
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  2. Davar Khoshnevisan
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Editor information

Jacques Azéma Michel Emery Paul André Meyer Marc Yor

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© 1995 Springer-Verlag

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Burdzy, K., Khoshnevisan, D. (1995). The level sets of iterated Brownian motion. In: Azéma, J., Emery, M., Meyer, P.A., Yor, M. (eds) Séminaire de Probabilités XXIX. Lecture Notes in Mathematics, vol 1613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094215

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  • DOI: https://doi.org/10.1007/BFb0094215

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60219-4

  • Online ISBN: 978-3-540-44744-3

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