Local Times and Excursion Theory for Brownian Motion, 2013 A Tale of Wiener and Itô Measures Lecture Notes in Mathematics Series, Vol. 2088
Auteurs : Yen Ju-Yi, Yor Marc
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.
Prerequisites.- Local times of continuous semimartingales.- Excursion theory for Brownian paths.- Some applications of Excursion Theory.- Index.
Date de parution : 10-2013
Ouvrage de 135 p.
15.5x23.5 cm
Thème de Local Times and Excursion Theory for Brownian Motion :
Mots-clés :
arcsine law; excursion theory; functionals of Brownian motion; local times