Local Times and Excursion Theory for Brownian Motion: A Tale of Wiener and Itô Measures - Couverture souple

Yen, Ju-Yi; Yor, Marc

 
9783319012698: Local Times and Excursion Theory for Brownian Motion: A Tale of Wiener and Itô Measures

Synopsis

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. 

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.