Brownian motion /

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Bibliographic Details
Author / Creator:Mörters, Peter.
Imprint:Cambridge : Cambridge University Press, 2010.
Description:xii, 403 p. : ill. ; 26 cm.
Language:English
Series:Cambridge series in statistical and probabilistic mathematics ; [30]
Cambridge series on statistical and probabilistic mathematics ; 30.
Subject:Brownian motion processes.
Brownian motion processes.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8209462
Hidden Bibliographic Details
Other authors / contributors:Peres, Y. (Yuval)
Schramm, Oded.
Werner, Wendelin, 1968-
ISBN:9780521760188 (Hardback)
0521760186
9780511743191 (e-book)
Notes:Includes bibliographical references (p. 386-399) and index.
Electronic reproduction. Palo Alto, Calif. : ebrary, 2010. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.
Description
Summary:This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like 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.
Physical Description:xii, 403 p. : ill. ; 26 cm.
Bibliography:Includes bibliographical references (p. 386-399) and index.
ISBN:9780521760188 (Hardback)
0521760186
9780511743191 (e-book)