图书信息
图书目录
无穷遍历理论引论（影印版）
暂无简介
作者：
Jon Aaronson
定价：
135.00元
出版时间：
2025-02-14
ISBN：
978-7-04-063095-4
物料号：
63095-00
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：
动力系统
重点项目：
暂无
版面字数：
475.00千字
开本：
特殊
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Preface
- Chapter 1. Non-singular transformations
- §1.0 Standard measure spaces
- §1.1 Recurrence and conservativity
- §1.2 Ergodicity
- §1.3 The dual operator
- §1.4 Invariant measures
- §1.5 Induced transformations and applications
- §1.6 Group actions and flows
- Chapter 2. General ergodic and spectral theorems
- §2.1 von Neumann's mean ergodic theorem
- §2.2 Pointwise ergodic theorems
- §2.3 Converses to Birkhoff's theorem
- §2.4 Transformations with infinite invariant measures
- §2.5 Spectral properties
- §2.6 Eigenvalues
- §2.7 Ergodicity of Cartesian products
- Chapter 3. Transformations with infinite invariant measures
- §3.1 Isomorphism, factors, and similarity
- §3.2 Intrinsic normalising constants and laws of large numbers
- §3.3 Rational ergodicity
- §3.4 Maharam transformations
- §3.5 Category theorems
- §3.6 Asymptotic distributional behaviour
- §3.7 Pointwise dual ergodicity
- §3.8 Wandering rates
- Chapter 4. Markov maps
- §4.1 Markov partitions
- §4.2 Graph shifts
- §4.3 Distortion properties
- §4.4 Ergodic properties of Markov maps with distortion properties
- §4.5 Markov shifts
- §4.6 Schweiger's jump transformation
- §4.7 Smooth Probenius-Perron operators and the Gibbs property
- §4.8 Non-expanding interval maps
- §4.9 Additional reading
- Chapter 5. Recurrent events and similarity of Markov shifts
- §5.1 Renewal sequences
- §5.2 Markov towers and recurrent events
- §5.3 Kaluza sequences
- §5.4 Similarity of Markov towers
- §5.5 Random walks
- Chapter 6. Inner functions
- §6.1 Inner functions on the unit disc
- §6.2 Inner functions on the upper half plane
- §6.3 The dichotomy
- §6.4 Examples
- Chapter 7. Hyperbolic geodesic flows
- §7.1 Hyperbolic space models
- §7.2 The geodesic flow of H
- §7.3 Asymptotic geodesies
- §7.4 Surfaces
- §7.5 The Poincare series
- §7.6 Further results
- Chapter 8. Cocycles and skew products
- §8.1 Skew Products
- §8.2 Persistencies and essential values
- §8.3 Coboundaries
- §8.4 Skew products over Kronecker transformations
- §8.5 Joinings of skew products
- §8.6 Squashable skew products over odometers
- Bibliography
- Index
