preface
comments on the use of this book
part i: large deviations and statistical mechanics
chapter i. introduction to large deviations
聽 i.1. overview
聽 i.2. large deviations for 1.i.d. random variables with afinite state space
聽 i.3. levels-1 and 2 for coin tossing
聽 i.4. levels-1 and 2 for i.i.d. random variables with afinite state space
聽 i.5. level-3: empirical pair measure
聽 i.6. level-3: empirical process
聽 i.7. notes
聽 i.8. problems
chapter ii. large deviation property and asymptotics ofintegrals
聽 ii.1. introduction
聽 ii.2. levels-l, 2, and 3 large deviations for i.i.d. randomvectors
聽 ii.3. the definition of large deviation property
聽 ii.4. statement of large deviation properties for levels-l,2, and 3
聽 ii.5. contraction principles
聽 ii.6. large deviation property for random vectors andexponential convergence
聽 ii.7. varadhan's theorem on the asymptotics ofintegrals
聽 ii.8. notes
聽 ii.9. problems
chapter iii. large deviations and the discrete ideal gas