TY - BOOK AU - Yen,Ju-Yi AU - Yor,Marc ED - SpringerLink (Online service) TI - Local Times and Excursion Theory for Brownian Motion: A Tale of Wiener and Itô Measures T2 - Lecture Notes in Mathematics, SN - 9783319012704 AV - QA273.A1-274.9 U1 - 519.2 23 PY - 2013/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Mathematics KW - Distribution (Probability theory) KW - Probability Theory and Stochastic Processes N1 - Prerequisites -- Local times of continuous semimartingales -- Excursion theory for Brownian paths -- Some applications of Excursion Theory -- Index N2 - 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 UR - http://dx.doi.org/10.1007/978-3-319-01270-4 ER -