Ebook: Entropy, Large Deviations, and Statistical Mechanics
Author: Richard S. Ellis (auth.)
- Tags: Statistical Physics Dynamical Systems and Complexity
- Series: Grundlehren der mathematischen Wissenschaften 271
- Year: 1985
- Publisher: Springer New York
- Language: English
- pdf
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Introduction to Large Deviations....Pages 3-29
Large Deviation Property and Asymptotics of Integrals....Pages 30-58
Large Deviations and the Discrete Ideal Gas....Pages 59-87
Ferromagnetic Models on ?....Pages 88-137
Magnetic Models on ? D and on the Circle....Pages 138-207
Front Matter....Pages 209-209
Convex Functions and the Legendre-Fenchel Transform....Pages 211-228
Large Deviations for Random Vectors....Pages 229-249
Level-2 Large Deviations for I.I.D. Random Vectors....Pages 250-268
Level-3 Large Deviations for I.I.D. Random Vectors....Pages 269-291
Back Matter....Pages 293-365
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Introduction to Large Deviations....Pages 3-29
Large Deviation Property and Asymptotics of Integrals....Pages 30-58
Large Deviations and the Discrete Ideal Gas....Pages 59-87
Ferromagnetic Models on ?....Pages 88-137
Magnetic Models on ? D and on the Circle....Pages 138-207
Front Matter....Pages 209-209
Convex Functions and the Legendre-Fenchel Transform....Pages 211-228
Large Deviations for Random Vectors....Pages 229-249
Level-2 Large Deviations for I.I.D. Random Vectors....Pages 250-268
Level-3 Large Deviations for I.I.D. Random Vectors....Pages 269-291
Back Matter....Pages 293-365
....
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