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An outline of ergodic theory

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Author(s): Steven Kalikow, Randall McCutcheon
Series: Cambridge Studies in Advanced Mathematics 122
Edition: draft
Publisher: CUP
Year: 2009

Language: English
Pages: 182

Title
......Page 3
Copyright
......Page 4
Contents
......Page 5
Preface
......Page 7
Introduction......Page 9
1
Measure-theoretic preliminaries......Page 13
2 Measure-preserving systems, stationary
processes......Page 34
3
Martingales and coupling......Page 63
4
Entropy......Page 80
5
Bernoulli transformations......Page 104
6
Ornstein isomorphism theorem......Page 132
7
Varieties of mixing......Page 154
Appendix: Some open problems......Page 175
References......Page 178
Index......Page 181