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Brownian Motion, Obstacles and Random Media

Name: Brownian Motion, Obstacles and Random Media
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01653431
Price: 45.49 EUR
Availability: InStock
Author: Alain-Sol Sznitman
ISBN: 9783642084201

Alain-Sol Sznitman

Lingua

Inglese

Libro In brossura

Codice Libristo: 01653431

Casa editrice Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, maggio 2011

This book provides an account for the non-specialist of the circle of ideas, results and techniques,... Descrizione completa

Codice Libristo: 01653431

111 b

45.49 €

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This book 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. It also includes an overview of known results and connections with other areas of random media, taking a highly original and personal approach throughout.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.