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Ergodic Theorems (De Gruyter Studies in Mathematics)
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin: |
| Publication Dates: | [2011] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter studies in mathematics
6 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110844641 http://www.degruyter.com/doc/cover/9783110844641.jpg |
| Summary: |
Ergodic Theorems (De Gruyter Studies in Mathematics) |
| Item Description: | Literaturverz. S. 321 - 346 |
| Carrier Form: | 1 online ressource(357 pages). |
| ISBN: | 9783110844641 |
| Index Number: | QA313 |
| CLC: | O177.99 |
| 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 Ces ro 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. 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. 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. Chapter 5: Operators in C(K) and in Lp, (1 p ) 5.1 Markov operators in C(K); 5.2 Contractions in Lp, (1 p ); Chapter 6: Pointwise ergodic theorems for multiparameter and amenable semigroups; 6.1 Unrestricted convergence for averages over d-dimensional intervals; 6.2 Multiparameter additive and subadditive processes; 6.3 Multiparameter semigroups of L1-contractions; 6.4 Amenable semigroups; Chapter 7: Local ergodic theorems and differentiation; 7.1 Positive 1-parameter semigroups. |