Large Deviations(English, Paperback, Hollander Frank den)

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Large Deviations(English, Paperback, Hollander Frank den) is written by Hollander Frank den and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821844350 (ISBN 10) and 9780821844359 (ISBN 13).

This volume offers an introduction to large deviations. It is divided into two parts: theory and applications. Basic large deviation theorems are presented for i.i.d. sequences, Markov sequences, and sequences with moderate dependence. The rate function is computed explicitly. The theory is explained without too much emphasis on technicalities. Also included is an outline of general definitions and theorems. The goal is to expose the unified theme that gives large deviation theory its overall structure, which can be made to work in many concrete cases. The section on applications focuses on recent work in statistical physics and random media. This book contains 60 exercises (with solutions) that should elucidate the content and engage the reader. Prerequisites for the book are a strong background in probability and analysis and some knowledge of statistical physics. It would make an excellent textbook for a special topics course in large deviations.