Entropy, Large Deviations, and Statistical Mechanics

• Κύριος συγγραφέας: Ellis, Richard S. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
• Έκδοση: Reprint of the 1985 Edition.
• Σειρά: Classics in Mathematics,
• Θέματα: 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. ....

Πίνακας περιεχομένων:

• 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.