Ergodic theorems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
de Gruyter
1985
|
| Schriftenreihe: | De Gruyter studies in mathematics
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 357 S. |
| ISBN: | 3110084783 0899250246 |
Internformat
MARC
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| 100 | 1 | |a Krengel, Ulrich |d 1937- |e Verfasser |0 (DE-588)124964907 |4 aut | |
| 245 | 1 | 0 | |a Ergodic theorems |c Ulrich Krengel |
| 264 | 1 | |a Berlin [u.a.] |b de Gruyter |c 1985 | |
| 300 | |a VIII, 357 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics |v 6 | |
| 650 | 0 | 7 | |a Ergodensatz |0 (DE-588)4152756-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1805084739554508800 |
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| adam_text |
Contents
Chapter 1: Measure preserving and null preserving point mappings 1
§1.1 Von Neumann's mean ergodic theorem, ergodicity 1
§ 1.2 BirkhofFs ergodic theorem 7
§ 1.3 Recurrence 16
§ 1.4 Shift transformations and stationary processes 22
§ 1.5 Kingman's subadditive ergodic theorem and
the multiplicative ergodic theorem of Oseledec 35
§ 1.6 Relatives of the maximal ergodic theorem 50
§ 1.7 Some general tools and principles 63
Chapter 2: Mean ergodic theory 71
§ 2.1 The mean ergodic theorem 71
§ 2.2 Uniform convergence 86
§ 2.3 Weak mixing, continuous spectrum and multiple recurrence 94
§ 2.4 The splitting theorem of Jacobs Deleeuw Glicksberg 103
Chapter 3: Positive contractions in L^ 113
§ 3.1 The Hopf decomposition 113
§ 3.2 The Chacon Ornstein theorem 119
§ 3.3 Brunei's lemma and the identification of the limit 123
§ 3.4 Existence of finite invariant measures 135
§ 3.5 The subadditive ergodic theorem for positive contractions in Lx . 146
§ 3.6 An example with divergence of Cesaro averages 151
§ 3.7 More on the filling scheme 154
Chapter 4: Extensions of the Lt theory 159
§ 4.1 Non positive contractions in Lx • 159
§ 4.2 Vector valued ergodic theorems 167
§4.3 Power bounded operators and harmonic functions 172
VIII Contents
Chapter 5: Operators in C(K) and in Lp, (1 p oo) 177
§ 5.1 Markov operators in C{K) 177
§ 5.2 Contractions in Lp, (1 p oo) 186
Chapter 6: Pointwise ergodic theorems for multiparameter and amenable
semigroups 195
§ 6.1 Unrestricted convergence for averages over J dimensional
intervals 195
§ 6.2 Multiparameter additive and subadditive processes 201
§ 6.3 Multiparameter semigroups of Li contractions 211
§ 6.4 Amenable semigroups 221
Chapter 7: Local ergodic theorems and differentiation 229
§ 7.1 Positive 1 parameter semigroups 229
§ 7.2 Local ergodic theorems for multiparameter and non positive
semigroups, and for vector valued functions 243
Chapter 8: Subsequences and generalized means 251
§ 8.1 Strong convergence and mixing 251
§ 8.2 Pointwise convergence 257
Chapter 9: Special topics 267
§ 9.1 Ergodic theorems in von Neumann algebras 267
§ 9.2 Entropy and information 281
§ 9.3 Nonlinear nonexpansive mappings 288
§ 9.4 Miscellanea 297
Supplement: Harris Processes, Special Functions, Zero Two Law
(by Antoine Brunei) 301
Bibliography 321
Notation 347
Index 351 |
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| ctrlnum | (OCoLC)246744042 (DE-599)BVBBV001791372 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-20T08:09:14Z |
| institution | BVB |
| isbn | 3110084783 0899250246 |
| language | English |
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| physical | VIII, 357 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | de Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Krengel, Ulrich 1937- Verfasser (DE-588)124964907 aut Ergodic theorems Ulrich Krengel Berlin [u.a.] de Gruyter 1985 VIII, 357 S. txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 6 Ergodensatz (DE-588)4152756-2 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s DE-604 Ergodensatz (DE-588)4152756-2 s De Gruyter studies in mathematics 6 (DE-604)BV000005407 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001207153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krengel, Ulrich 1937- Ergodic theorems De Gruyter studies in mathematics Ergodensatz (DE-588)4152756-2 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4152756-2 (DE-588)4015246-7 |
| title | Ergodic theorems |
| title_auth | Ergodic theorems |
| title_exact_search | Ergodic theorems |
| title_full | Ergodic theorems Ulrich Krengel |
| title_fullStr | Ergodic theorems Ulrich Krengel |
| title_full_unstemmed | Ergodic theorems Ulrich Krengel |
| title_short | Ergodic theorems |
| title_sort | ergodic theorems |
| topic | Ergodensatz (DE-588)4152756-2 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Ergodensatz Ergodentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001207153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
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