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· 제목 : A Course on Large Deviations With an Introduction to Gibbs Measures (Hardcover)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780821875780
· 쪽수 : 318쪽
· 출판일 : 2015-04-19
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780821875780
· 쪽수 : 318쪽
· 출판일 : 2015-04-19
목차
- Large deviations: General theory and i.i.d. processes
- Introductory discussion
- The large deviation principle
- Large deviations and asymptotics of integrals
- Convex analysis in large deviation theory
- Relative entropy and large deviations for empirical measures
- Process level large deviations for i.i.d. fields
- Statistical mechanics
- Formalism for classical lattice systems
- Large deviations and equilibrium statistical mechanics
- Phase transition in the Ising model
- Percolation approach to phase transition
- Additional large deviation topics
- Further asymptotics for i.i.d. random variables
- Large deviations through the limiting generating function
- Large deviations for Markov chains
- Convexity criterion for large deviations
- Nonstationary independent variables
- Random walk in a dynamical random environment
- Appendixes: Analysis Probability Inequalities from statistical mechanics
- Nonnegative matrices
- Bibliography
- Notation index
- Author index
- General index
