Entropy, Large Deviations, and Statistical Mechanics
By: Ellis, Richard S [author.].
Contributor(s): SpringerLink (Online service)0.
Material type:
BookSeries: Classics in Mathematics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Edition: Reprint of the 1985 Edition.Description: XVIII, 364 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540290605.Subject(s): Mathematics | Probabilities | Statistical physics | Dynamical systems.1 | Mathematics.2 | Probability Theory and Stochastic Processes.2 | Statistical Physics, Dynamical Systems and Complexity.2DDC classification: 519.2 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK6816 |
Large Deviations and Statistical Mechanics -- to Large Deviations -- Large Deviation Property and Asymptotics of Integrals -- Large Deviations and the Discrete Ideal Gas -- Ferromagnetic Models on ? -- Magnetic Models on ?D and on the Circle -- Convexity and Proofs of Large Deviation Theorems -- Convex Functions and the Legendre-Fenchel Transform -- Large Deviations for Random Vectors -- Level-2 Large Deviations for I.I.D. Random Vectors -- Level-3 Large Deviations for I.I.D. Random Vectors.
From the reviews: "... Besides the fact that the author's treatment of large deviations is a nice contribution to the literature on the subject, his book has the virue that it provides a beautifully unified and mathematically appealing account of certain aspects of statistical mechanics. ... Furthermore, he does not make the mistake of assuming that his mathematical audience will be familiar with the physics and has done an admireable job of explaining the necessary physical background. Finally, it is clear that the author's book is the product of many painstaking hours of work; and the reviewer is confident that its readers will benefit from his efforts." D. Stroock in Mathematical Reviews 1985 "... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 problems, many of which have hints. The book may be recommended as a text, it provides a completly self-contained reading ..." S. Pogosian in
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