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Entropy, Large Deviations, and Statistical Mechanics

Richard S. Ellis
Publisher: 
Springer Verlag
Publication Date: 
2006
Number of Pages: 
364
Format: 
Paperback
Series: 
Classics in Mathematics
Price: 
54.95
ISBN: 
3-540-29059-1
Category: 
Monograph
We do not plan to review this book.

 

Large Deviations and Statistical Mechanics: Introduction to Large Deviations.- Large Deviation Property and Asymptotics of Integrals.- Large Deviations and the Discrete Ideal Gas.- Ferromagnetic Models on Z.- Magnetic Models on ZD 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. Appendices: Probability.- Proofs to Two Theorems in Section II.7.- Equivalent Notions of Infinite-Volume Measures for Spin Systems.- Existence of the Specific Gibbs Free Energy.

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