Entropy, Large Deviations, and Statistical Mechanics

• Main Author: Ellis, Richard S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
• Edition: Reprint of the 1985 Edition.
• Series: Classics in Mathematics,
• Subjects: Mathematics.; System theory.; Probabilities.; Probability Theory and Stochastic Processes.; Complex Systems.; Statistical Physics and Dynamical Systems.

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. ....

Table of Contents:

• 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.