Dynamical systems of algebraic origin:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1995
|
| Schriftenreihe: | Progress in mathematics
128 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 310 S. |
| ISBN: | 3764351748 0817651748 9783034899574 |
Internformat
MARC
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| 100 | 1 | |a Schmidt, Klaus |d 1943- |e Verfasser |0 (DE-588)104525200X |4 aut | |
| 245 | 1 | 0 | |a Dynamical systems of algebraic origin |c Klaus Schmidt |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1995 | |
| 300 | |a XVIII, 310 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 128 | |
| 650 | 7 | |a Automorphismes |2 ram | |
| 650 | 7 | |a Dynamique différentiable |2 ram | |
| 650 | 7 | |a Groupes abéliens |2 ram | |
| 650 | 7 | |a Théorie ergodique |2 ram | |
| 650 | 4 | |a Abelian groups | |
| 650 | 4 | |a Automorphisms | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Ergodic theory | |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kommutative Algebra |0 (DE-588)4164821-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kompakte Gruppe |0 (DE-588)4164840-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | 1 | |a Kompakte Gruppe |0 (DE-588)4164840-7 |D s |
| 689 | 0 | 2 | |a Kommutative Algebra |0 (DE-588)4164821-3 |D s |
| 689 | 0 | 3 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-0348-9236-0 |
| 830 | 0 | |a Progress in mathematics |v 128 |w (DE-604)BV000004120 |9 128 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006672268&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006672268 | ||
Datensatz im Suchindex
| _version_ | 1804124441289949184 |
|---|---|
| adam_text | Contents
Introduction ix
Chapter I. Group actions by automorphisms of compact groups
1. Ergodicity and mixing 1
2. Expansiveness and Lie subshifts 9
3. The descending chain condition 19
4. Groups of Markov type 23
Chapter II. Zd actions on compact abelian groups
5. The dual module 35
6. The dynamical system defined by a Noetherian module 43
7. The dynamical system defined by a point 60
8. The dynamical system defined by a prime ideal 70
Chapter III. Expansive automorphisms of compact groups
9. Expansive automorphisms of compact connected groups 77
10. The structure of expansive automorphisms 83
Chapter IV. Periodic points
11. Periodic points of Zd actions 93
12. Periodic points of ergodic group automorphisms 101
vii
viii CONTENTS
Chapter V. Entropy
13. Entropy of Zd actions 105
14. Yuzvinskii s addition formula 114
15. Zd actions on groups with zero dimensional centres 121
16. Mahler measure 125
1?. Mahler measure and entropy of group automorphisms 129
18. Mahler measure and entropy of Zd actions 139
Chapter VI. Positive entropy
19. Positive entropy 151
20. Completely positive entropy 162
21. Entropy and periodic points 174
22. The distribution of periodic points 193
23. Bemoullicity 196
Chapter VII. Zero entropy
24. Entropy and dimension 221
25. Shift invariant subgroups of (Z/pZ)z2 228
26. Relative entropies and residual sigma algebras 241
Chapter VIII. Mixing
27. Multiple mixing and additive relations in fields 261
28. Masser s theorem and non mixing sets 268
Chapter IX. Rigidity
29. Almost minimal Zd actions and invariant measures 285
30. Cohomological rigidity 293
31. Isomorphism rigidity , 297
Bibliography 301
Index 306
|
| any_adam_object | 1 |
| author | Schmidt, Klaus 1943- |
| author_GND | (DE-588)104525200X |
| author_facet | Schmidt, Klaus 1943- |
| author_role | aut |
| author_sort | Schmidt, Klaus 1943- |
| author_variant | k s ks |
| building | Verbundindex |
| bvnumber | BV010056685 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA614.8 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 350 |
| classification_tum | MAT 344f |
| ctrlnum | (OCoLC)32091524 (DE-599)BVBBV010056685 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010056685 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:45:43Z |
| institution | BVB |
| isbn | 3764351748 0817651748 9783034899574 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006672268 |
| oclc_num | 32091524 |
| open_access_boolean | |
| owner | DE-739 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-29T DE-824 DE-634 DE-11 DE-188 DE-706 |
| owner_facet | DE-739 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-29T DE-824 DE-634 DE-11 DE-188 DE-706 |
| physical | XVIII, 310 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Schmidt, Klaus 1943- Verfasser (DE-588)104525200X aut Dynamical systems of algebraic origin Klaus Schmidt Basel [u.a.] Birkhäuser 1995 XVIII, 310 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 128 Automorphismes ram Dynamique différentiable ram Groupes abéliens ram Théorie ergodique ram Abelian groups Automorphisms Differentiable dynamical systems Ergodic theory Dynamisches System (DE-588)4013396-5 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Kompakte Gruppe (DE-588)4164840-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Kompakte Gruppe (DE-588)4164840-7 s Kommutative Algebra (DE-588)4164821-3 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Erscheint auch als Online-Ausgabe 978-3-0348-9236-0 Progress in mathematics 128 (DE-604)BV000004120 128 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006672268&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmidt, Klaus 1943- Dynamical systems of algebraic origin Progress in mathematics Automorphismes ram Dynamique différentiable ram Groupes abéliens ram Théorie ergodique ram Abelian groups Automorphisms Differentiable dynamical systems Ergodic theory Dynamisches System (DE-588)4013396-5 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Kompakte Gruppe (DE-588)4164840-7 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4164821-3 (DE-588)4001161-6 (DE-588)4164840-7 |
| title | Dynamical systems of algebraic origin |
| title_auth | Dynamical systems of algebraic origin |
| title_exact_search | Dynamical systems of algebraic origin |
| title_full | Dynamical systems of algebraic origin Klaus Schmidt |
| title_fullStr | Dynamical systems of algebraic origin Klaus Schmidt |
| title_full_unstemmed | Dynamical systems of algebraic origin Klaus Schmidt |
| title_short | Dynamical systems of algebraic origin |
| title_sort | dynamical systems of algebraic origin |
| topic | Automorphismes ram Dynamique différentiable ram Groupes abéliens ram Théorie ergodique ram Abelian groups Automorphisms Differentiable dynamical systems Ergodic theory Dynamisches System (DE-588)4013396-5 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Kompakte Gruppe (DE-588)4164840-7 gnd |
| topic_facet | Automorphismes Dynamique différentiable Groupes abéliens Théorie ergodique Abelian groups Automorphisms Differentiable dynamical systems Ergodic theory Dynamisches System Kommutative Algebra Algebraische Geometrie Kompakte Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006672268&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT schmidtklaus dynamicalsystemsofalgebraicorigin |