Ergodic theory and topological dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; San Francisco ; London
Academic Press
1976
|
| Series: | Pure and applied mathematics
70 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 190 Seiten |
| ISBN: | 0121371506 |
Staff View
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| 245 | 1 | 0 | |a Ergodic theory and topological dynamics |c James R. Brown |
| 264 | 1 | |a New York ; San Francisco ; London |b Academic Press |c 1976 | |
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| 490 | 1 | |a Pure and applied mathematics |v 70 | |
| 650 | 4 | |a Dynamique topologique | |
| 650 | 7 | |a Ergodiciteit |2 gtt | |
| 650 | 4 | |a Théorie ergodique | |
| 650 | 7 | |a Topologische groepen |2 gtt | |
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| 650 | 4 | |a Topological dynamics | |
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Record in the Search Index
| _version_ | 1804116699492909056 |
|---|---|
| adam_text | Contents
Preface ix
Chapter I Ergodic Theory
1. Abstract Dynamical Systems 1
2. Ergodic Theorems 7
3. Ergodicity and Mixing 14
4. Products and Factors 21
5. Inverse Limits 24
6. Induced Systems 28
Exercises 32
Chapter II Topological Dynamics
1. Classical Dynamical Systems 43
2. Minimal and Strictly Ergodic Systems 46
3. Equicontinuous and Distal Systems 51
4. Sums and Products of Dynamical Systems 53
5. Inverse Limits 57
6. The Ellis Semigroup of Z 59
7. Expansive Systems 63
Exercises 66
vii
Viii CONTENTS
Chapter III Group Automorphisms and Affine
Transformations
1. Dynamical Systems on Groups 71
2. Ergodicity 76
3. Discrete and Quasidiscrete Spectrum 84
4. Quasiperiodic Spectrum and the Ergodic Part of x 89
5. Ergodic Automorphisms 92
6. An Affine Transformation Associated with the Dynamical
System O 96
Exercises 102
Chapter IV Entropy
1. Conditional Expectation and Kolmogorov Entropy 109
2. The Information Function and Finiteness of h((f , si) 114
3. SinaTs Theorem and Generators 119
4. Topological Entropy 127
5. Entropy of Affine Transformations 133
6. McMillan s Theorem and Entropy of Induced Systems 135
Exercises 142
Chapter V Bernoulli Systems and Ornstein s Theorem
1. Definitions 151
2. Approximation Lemmas 158
3. The Isomorphism Theorem 173
4. Extensions and Consequences of the Isomorphism Theorem 177
Exercises 179
Bibliography 181
Index 187
|
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| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510/.8 515.4/2 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-09T15:42:40Z |
| institution | BVB |
| isbn | 0121371506 |
| language | English |
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| physical | x, 190 Seiten |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Academic Press |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Brown, James R. 1932- (DE-588)172930731 aut Ergodic theory and topological dynamics James R. Brown New York ; San Francisco ; London Academic Press 1976 x, 190 Seiten txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 70 Dynamique topologique Ergodiciteit gtt Théorie ergodique Topologische groepen gtt Ergodic theory Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s Topologische Dynamik (DE-588)4253345-4 s DE-604 Pure and applied mathematics 70 (DE-604)BV010177228 70 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474432&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, James R. 1932- Ergodic theory and topological dynamics Pure and applied mathematics Dynamique topologique Ergodiciteit gtt Théorie ergodique Topologische groepen gtt Ergodic theory Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4253345-4 (DE-588)4015246-7 |
| title | Ergodic theory and topological dynamics |
| title_auth | Ergodic theory and topological dynamics |
| title_exact_search | Ergodic theory and topological dynamics |
| title_full | Ergodic theory and topological dynamics James R. Brown |
| title_fullStr | Ergodic theory and topological dynamics James R. Brown |
| title_full_unstemmed | Ergodic theory and topological dynamics James R. Brown |
| title_short | Ergodic theory and topological dynamics |
| title_sort | ergodic theory and topological dynamics |
| topic | Dynamique topologique Ergodiciteit gtt Théorie ergodique Topologische groepen gtt Ergodic theory Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Dynamique topologique Ergodiciteit Théorie ergodique Topologische groepen Ergodic theory Topological dynamics Topologische Dynamik Ergodentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474432&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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