Large Deviations

Language: English

Published by American Mathematical Society, US, 2016

082184086X / 9780821840863

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The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with small noise and the exit problem, (ii) large time behavior of Markov processes and their connection to the Feynman-Kac formula and the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their scaling limits, and large deviations from their expected limits. For the most part the examples are worked out in detail, and in the process the subject of large deviations is developed.The book will give the reader a flavor of how large deviation theory can help in problems that are not posed directly in terms of large deviations. The reader is assumed to have some familiarity with probability, Markov processes, and interacting particle systems.…

Seller Inventory # LU-9780821840863

Title
Large Deviations
Author
S.R.S. Varadhan
Publisher
American Mathematical Society, US
Publication year
2016
Condition
New
Binding
Paperback
Language
English
ISBN 10
082184086X
ISBN 13
9780821840863
Item weight
217 grams

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