Local Times and Excursion Theory for Brownian Motion

A Tale of Wiener and Itô Measures

Ju-Yi Yen author Marc Yor author

Format:Paperback

Publisher:Springer International Publishing AG

Published:16th Oct '13

Currently unavailable, and unfortunately no date known when it will be back

Local Times and Excursion Theory for Brownian Motion cover

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. 

“The lecture notes provide an elementary and brief introduction to local times for continuous semimartingales and excursion theory for Brownian motion. … The lecture notes are an easily accessible and self-contained introduction … which are suitable for graduate students with a basic knowledge of stochastic processes in continuous time. … the proofs are mostly carried out with many details and helpful references are given in each chapter.” (David Prömel, zbMATH 1364.60003, 2017)

ISBN: 9783319012698

Dimensions: unknown

Weight: 237g

135 pages

2013 ed.