图书信息
图书目录
大偏差（影印版）
暂无简介
作者：
Jean-Dominique Deuschel，Daniel W. Stroock
定价：
135.00元
出版时间：
2025-02-17
ISBN：
978-7-04-063099-2
物料号：
63099-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
概率论
重点项目：
暂无
版面字数：
470.00千字
开本：
特殊
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Preface
- Chapter 1 Some Examples
- 1.1. The General Idea
- 1.2. The Classical Cramér Theorem
- 1.3. Schilder's Theorem
- 1.4. Two Applications of Schilder's Theorem
- Chapter 2 Some Generalities
- 2.1. The Large Deviation Principle
- 2.2. Large Deviations and Convex Analysis
- Chapter 3 General Cramér Theory
- 3.1. Preliminary Formulation
- 3.2. Sanov's Theorem
- 3.3. Cramér's Theorem for Banach Spaces
- 3.4. Large Deviations for Gaussian Measures
- Chapter 4 Uniform Large Deviations
- 4.1. Markov Chains
- 4.2. Continuous Time Markov Processes
- 4.3. The Wiener Sausage
- 4.4. Process Level Large Deviations
- Chapter 5 Non-Uniform Results
- 5.1. Generalities about the Upper Bound
- 5.2. A Little Ergodic Theory
- 5.3. The General Symmetric Markov Case
- 5.4. Large Deviations for Hypermixing Processes
- 5.5. Hypermixing in the Epsilon Markov Case
- Chapter 6 Analytic Considerations
- 6.1. When Is a Markov Process Hypermixing?
- 6.2. Symmetric Diffusions on a Manifold
- 6.3. Hypoelliptic Diffusions on a Compact Manifold
- Historical Notes and References
- Name Index
- Bibliography
- Frequently Used Notation
- Index
