Brownian motion, obstacles, and random media
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Word Count
88,250 words, Guess
Page Count
353 pages
Identifiers
- Open LibraryOL365704M
- ISBN-103540645543
- OCLC Control Number39261919
- OCLC Control Numberbrownianmotionob00szni
- Library of Congress Control Number98026047
and 2 more
- LibraryThing2126276
- Goodreads1889726
Classifications
- DDC530.4/75
- LCCQA274.75 .S95 1998
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.
Subjects
Series Statement
- Springer monographs in mathematics
Other Editions
- Brownian motion, obstacles, and random media
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