| Description |
1 online resource (vii, 357 pages) |
| Series |
De Gruyter studies in mathematics ; 6 |
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De Gruyter studies in mathematics ; 6.
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| Contents |
2.4 The splitting theorem of Jacobs-Deleeuw-GlicksbergChapter 3: Positive contractions in L1; 3.1 The Hopf decomposition; 3.2 The Chacon-Ornstein theorem; 3.3 Brunel's lemma and the identification of the limit; 3.4 Existence of finite invariant measures; 3.5 The subadditive ergodic theorem for positive contractions in L1; 3.6 An example with divergence of Cesàro averages; 3.7 More on the filling scheme; Chapter 4: Extensions of the L1-theory; 4.1 Non positive contractions in L1; 4.2 Vector valued ergodic theorems; 4.3 Power bounded operators and harmonic functions |
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7.2 Local ergodic theorems for multiparameter and non positive semigroups, and for vector valued functionsChapter 8: Subsequences and generalized means; 8.1 Strong convergence and mixing; 8.2 Pointwise convergence; Chapter 9: Special topics; 9.1 Ergodic theorems in von Neumann algebras; 9.2 Entropy and information; 9.3 Nonlinear nonexpansive mappings; 9.4 Miscellanea; Supplement: Harris Processes, Special Functions, Zero-Two-Law (by Antoine Brunei); Bibliography; Notation; Index |
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Chapter 1: Measure preserving and null preserving point mappings; 1.1 Von Neumann's mean ergodic theorem, ergodicity; 1.2 Birkhoff's ergodic theorem; 1.3 Recurrence; 1.4 Shift transformations and stationary processes; 1.5 Kingman's subadditive ergodic theorem and the multiplicative ergodic theorem of Oseledec; 1.6 Relatives of the maximal ergodic theorem; 1.7 Some general tools and principles; Chapter 2: Mean ergodic theory; 2.1 The mean ergodic theorem; 2.2 Uniform convergence; 2.3 Weak mixing, continuous spectrum and multiple recurrence |
| Summary |
Ergodic Theorems (De Gruyter Studies in Mathematics) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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English |
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Ergodic theory.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Ergodic theory
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Théorie ergodique.
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| Form |
Electronic book
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| Author |
Brunel, Antoine
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| LC no. |
85004457 |
| ISBN |
9783110844641 |
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3110844648 |
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