Brownian motion
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Author
Contributions
- Peres, Y. (Yuval) - Contributor
- Schramm, Oded - Contributor
- Werner, Wendelin, 1968- - Contributor
Publication
2010 - Cambridge University Press, Cambridge, UK, England
Language
English
Word Count
100,750 words, Guess
Page Count
403 pages
Identifiers
- Internet Archivebrownianmotionca00mrte
- Internet Archivebrownianmotion00mrte_090
- ISBN-100521760186
- ISBN-139780521760188
- Library of Congress Control Number2010287987
and 3 more
- OCLC Control Number466341039
- Better World Books9780521760188
- Open LibraryOL24480446M
Classifications
- LCCQA274.75 .M67 2010
Description
"This textbook offers a broad and deep exposition of Brownian motion. Extensively class tested, it leads the reader from the basics to the latest research in the area." "Starting with the construction of Brownian motion, the book then proceeds to sample path properties such as continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool, and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes."--Jacket.
Subjects
Other Editions
- Brownian motion
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