Brownian Motion

Brownian Motion
By:Peter Mörters,Yuval Peres
Published on 2010-03-25 by Cambridge University Press

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.

This Book was ranked at 12 by Google Books for keyword time and motion.

Book ID of Brownian Motion's Books is e-TbA-dSrzYC, Book which was written byPeter Mörters,Yuval Pereshave ETAG "wYc+WKtNAAY"

Book which was published by Cambridge University Press since 2010-03-25 have ISBNs, ISBN 13 Code is 9781139486576 and ISBN 10 Code is 1139486578

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