Local Times and Excursion Theory for Brownian Motion

Local Times and Excursion Theory for Brownian Motion
Author :
Publisher : Springer
Total Pages : 140
Release :
ISBN-10 : 9783319012704
ISBN-13 : 3319012703
Rating : 4/5 (703 Downloads)

Book Synopsis Local Times and Excursion Theory for Brownian Motion by : Ju-Yi Yen

Download or read book Local Times and Excursion Theory for Brownian Motion written by Ju-Yi Yen and published by Springer. This book was released on 2013-10-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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