Local Times and Excursion Theory for Brownian Motion: A Tale of Wiener and Ito Measures (Lecture Notes in Mathematics, #2088)

by Ju-Yi Yen and Marc Yor

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This monograph discusses the existence and regularity properties of local times associated to a continuous semimartingale, as well as excursion theory for Brownian paths. Realizations of Brownian excursion processes may be translated in terms of the realizations of a Wiener process under certain conditions. With this aim in mind, the monograph presents applications to topics which are not usually treated with the same tools, e.g.: arc sine law, laws of functionals of Brownian motion, and the Feynman-Kac formula.

  • ISBN10 3319012711
  • ISBN13 9783319012711
  • Publish Date 30 September 2013
  • Publish Status Withdrawn
  • Out of Print 18 October 2014
  • Publish Country US
  • Imprint Springer
  • Format Paperback (US Trade)
  • Pages 150
  • Language English