Entropy, Large Deviations, and Statistical Mechanics [electronic resource] /
Ellis, Richard S.author.
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 "Reprint of the 1985 edition."
Includes bibliographical references (p. [338]-351) and indexes.
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 Probabilities.
Statistical physics.
Dynamical systems.
Probability Theory and Stochastic Processes.
Complex Systems.
Statistical Physics and Dynamical Systems.