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Brownian Sheet Local Time and Bubbles

Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1832)

Abstract

We establish a law of large numbers relating the number of “bubbles” contained in a bounded time domain and local time on that domain. The result is analagous to the behaviour of Brownian motion.

Keywords: Local Times, excursions, Gaussian

AMS 1991 subject classifications: Primary 60G15, 60G17

Keywords

  • Brownian Motion
  • Local Time
  • Brownian Sheet
  • Independent Brownian Motion
  • Brownian Motion Process

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2003 Springer-Verlag Berlin Heidelberg

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Mountford, T.S. (2003). Brownian Sheet Local Time and Bubbles. In: Azéma, J., Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXVII. Lecture Notes in Mathematics, vol 1832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40004-2_7

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  • DOI: https://doi.org/10.1007/978-3-540-40004-2_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20520-3

  • Online ISBN: 978-3-540-40004-2

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