Overview
- Both local times and excursion theory are usually discussed in much longer texts. We examine these topics in relation to readers’ basic knowledge of stochastic processes
- Presents interesting applications of excursion theory
- Similarly with local times of Brownian motion
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2088)
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About this book
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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Keywords
Table of contents (11 chapters)
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Local Times of Continuous Semimartingales
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Excursion Theory for Brownian Paths
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Some Applications of Excursion Theory
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Authors and Affiliations
Bibliographic Information
Book Title: Local Times and Excursion Theory for Brownian Motion
Book Subtitle: A Tale of Wiener and Itô Measures
Authors: Ju-Yi Yen, Marc Yor
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-01270-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Softcover ISBN: 978-3-319-01269-8Published: 16 October 2013
eBook ISBN: 978-3-319-01270-4Published: 01 October 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 135
Number of Illustrations: 1 b/w illustrations, 8 illustrations in colour