Brownian Motion, Obstacles and Random Media

By:

Alain-Sol Sznitman

Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

This book is aimed at graduate students and researchers. It provides an account for the non-specialist of the circle of ideas, results and techniques, which grew out in the study of Brownian motion and random obstacles. This subject has a rich phenomenology which exhibits certain paradigms, emblematic of the theory of random media. It also brings into play diverse mathematical techniques such as stochastic processes, functional analysis, potential theory, first passage percolation. In a first part, the book presents, in a concrete manner, background material related to the Feynman-Kac formula, potential theory, and eigenvalue estimates. In a second part, it discusses recent developments including the method of enlargement of obstacles, Lyapunov coefficients, and the pinning effect. The book also includes an overview of known results and connections with other areas of random media.

Release date Australia

August 19th, 1998

Author

Alain-Sol Sznitman

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

16 Illustrations, black and white; XVI, 357 p. 16 illus.

Pages

357

Series

Springer Monographs in Mathematics

Dimensions

156x234x22

ISBN-13

9783540645542

Product ID

2495160

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