Large deviations and applications

By: S. R. S. VaradhanMaterial type: TextTextPublication details: Philadelphia: SIAM, [c1984]Description: 71 pISBN: 9780898711899LOC classification: QA273.67
Contents:
1. Introduction 2. Large Deviations 3. Cramér's Theorem 4. Multidimensional Version of Cramér's Theorem 5. An Infinite Dimensional Example: Brownian Motion 6. The Ventcel—Freidlin Theory 7. The Exit Problem 8. Empirical Distributions 9. The Large Deviation Problem for Empirical Distributions of Markov Processes 10. Some Properties of Entropy 11. Upper Bounds 12. Lower Bounds 13. Contraction Principle 14. Application to the Problem of the Wiener Sausage 15. The Polaron Problem 16. Bibliographical Remarks
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1. Introduction
2. Large Deviations
3. Cramér's Theorem
4. Multidimensional Version of Cramér's Theorem
5. An Infinite Dimensional Example: Brownian Motion
6. The Ventcel—Freidlin Theory
7. The Exit Problem
8. Empirical Distributions
9. The Large Deviation Problem for Empirical Distributions of Markov Processes
10. Some Properties of Entropy
11. Upper Bounds
12. Lower Bounds
13. Contraction Principle
14. Application to the Problem of the Wiener Sausage
15. The Polaron Problem
16. Bibliographical Remarks

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