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Item Details
Title: RANDOM WALK INTERSECTIONS
LARGE DEVIATIONS AND RELATED TOPICS
By: Xia Chen
Format: Hardback

List price: £113.00


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ISBN 10: 0821848208
ISBN 13: 9780821848203
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 January, 2010
Series: Mathematical Surveys and Monographs v. 157
Pages: 357
Description: Involves important and non-trivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry.
Synopsis: The material covered in this book involves important and non-trivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry. The development carefully provides the basic definitions of mutual intersection and self-intersection local times for Brownian motions and the accompanying large deviation results. The book then proceeds to the analogues of these concepts and results for random walks on lattices of Rd. This includes suitable integrability and large deviation results for these models and some applications. Moreover, the notes and comments at the end of the chapters provide interesting remarks and references to various related results, as well as a good number of exercises. The author provides a beautiful development of these subtle topics at a level accessible to advanced graduate students.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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