Entropy, Large Deviations, and Statistical Mechanics

Part I. Large Deviations and Statistical Mechanics

1. Introduction to Large Deviations
Richard S. Ellis

2. Large Deviation Property and Asymptotics of Integrals
Richard S. Ellis

3. Large Deviations and the Discrete Ideal Gas
Richard S. Ellis

4. Ferromagnetic Models on ℤ
Richard S. Ellis

5. Magnetic Models on ℤD and on the Circle
Richard S. Ellis

Part II. Convexity and Proofs of Large Deviation Theorems

6. Convex Functions and the Legendre-Fenchel Transform
Richard S. Ellis

7. Large Deviations for Random Vectors
Richard S. Ellis

8. Level-2 Large Deviations for I.I.D. Random Vectors
Richard S. Ellis

9. Level-3 Large Deviations for I.I.D. Random Vectors
Richard S. Ellis

Keywords: Mathematics, Probability Theory and Stochastic Processes, Complex Systems, Statistical Physics and Dynamical Systems