Ergodic theory on compact spaces:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York
Springer
1976
|
| Schriftenreihe: | Lecture notes in mathematics
527 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 360 Seiten |
| ISBN: | 3540077979 0387077979 9783540077978 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV001969082 | ||
| 003 | DE-604 | ||
| 005 | 20240314 | ||
| 007 | t | ||
| 008 | 890928s1976 |||| 00||| eng d | ||
| 020 | |a 3540077979 |9 3-540-07797-9 | ||
| 020 | |a 0387077979 |9 0-387-07797-9 | ||
| 020 | |a 9783540077978 |c Online |9 978-3-540-07797-8 | ||
| 035 | |a (OCoLC)231742697 | ||
| 035 | |a (DE-599)BVBBV001969082 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91 |a DE-91G |a DE-384 |a DE-19 |a DE-473 |a DE-355 |a DE-20 |a DE-824 |a DE-29T |a DE-706 |a DE-83 |a DE-11 |a DE-188 |a DE-N2 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510/.8 | |
| 082 | 0 | |a 514/.3 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 28Dxx |2 msc/1970 | ||
| 084 | |a 54H20 |2 msc/1970 | ||
| 100 | 1 | |a Denker, Manfred |d 1944- |0 (DE-588)108215253 |4 aut | |
| 245 | 1 | 0 | |a Ergodic theory on compact spaces |c Manfred Denker ; Christian Grillenberger ; Karl Sigmund |
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer |c 1976 | |
| 300 | |a IV, 360 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 527 | |
| 650 | 4 | |a Dynamique topologique | |
| 650 | 7 | |a Ergodiciteit |2 gtt | |
| 650 | 4 | |a Espaces localement compacts | |
| 650 | 4 | |a Espaces métriques | |
| 650 | 7 | |a Metrische ruimten |2 gtt | |
| 650 | 4 | |a Théorie ergodique | |
| 650 | 7 | |a Topologische dynamica |2 gtt | |
| 650 | 4 | |a Compact spaces | |
| 650 | 4 | |a Ergodic theory | |
| 650 | 4 | |a Metric spaces | |
| 650 | 4 | |a Topological dynamics | |
| 650 | 0 | 7 | |a Topologische Dynamik |0 (DE-588)4253345-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kompakter Raum |0 (DE-588)4164857-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ergodentheorie |0 (DE-588)4015246-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ergodentheorie |0 (DE-588)4015246-7 |D s |
| 689 | 0 | 1 | |a Topologische Dynamik |0 (DE-588)4253345-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Ergodentheorie |0 (DE-588)4015246-7 |D s |
| 689 | 1 | 1 | |a Kompakter Raum |0 (DE-588)4164857-2 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Grillenberger, Christian |d 1941-1998 |0 (DE-588)143408356 |4 aut | |
| 700 | 1 | |a Sigmund, Karl |d 1945- |0 (DE-588)115427368 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-07797-8 |
| 830 | 0 | |a Lecture notes in mathematics |v 527 |w (DE-604)BV000676446 |9 527 | |
| 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=001284200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001284200 | ||
| 980 | 4 | |a (DE-12)AK5060393 | |
| 980 | 4 | |a (DE-12)AK08540155 | |
| 980 | 4 | |a (DE-12)AK20430606 | |
Datensatz im Suchindex
| _version_ | 1804116412852076544 |
|---|---|
| adam_text | Contents
Introduction 1
1. Measure Theoretical Dynamical Systems 3
2. Measures on Compact Metric Spaces 8
3. Invariant Measures for Continuous Transformations 17
4. Time Averages 20
5. Ergodicity 23
6. Mixing and Transitivity 30
7. Shifts and Subshifts 36
8. Measures on the Shift Space 41
9. Partitions and Generators 49
10. Information and Entropy 56
11 • Computation of Entropy 62
12. Entropy for Bernoulli- and Markov Shifts 68
13 • Ergodic Decompositions 73
14. Topological Entropy 82
15 • Topological Generators 92
16. Expansive Homeomorphisms 103
17. Subshifts of Finite Type 117
18. Variational Principle for Topological Entropy 131
19. Measures with Maximal Entropy - Intrinsically
Ergodic Systems 147
20. Entropy-Expansive Homeomorphisms 160
IV
21. The Specification Property 193
22. Specification and Expansiveness 210
23. Basic Sets for Axiom A 224
24. Automorphisms of the Torus 234
25. More on Subshifts of Finite Type 241
26. Preparations for Generator Theorems 254
27. A Combinatorial Construction of Minimal Sets 275
28. - Finite Generators for Ergodic Transformations
(Krieger s Theorem) 281
29. Strictly Ergodic Embedding (Theorem of Jewett
and Krieger) 300
30. Finite Generators for Aperiodic Transformations... 309
31. Embedding Theorems for Aperiodic Transformations..316
Bibliography 333
Index 346
List of Symbols 358
|
| any_adam_object | 1 |
| author | Denker, Manfred 1944- Grillenberger, Christian 1941-1998 Sigmund, Karl 1945- |
| author_GND | (DE-588)108215253 (DE-588)143408356 (DE-588)115427368 |
| author_facet | Denker, Manfred 1944- Grillenberger, Christian 1941-1998 Sigmund, Karl 1945- |
| author_role | aut aut aut |
| author_sort | Denker, Manfred 1944- |
| author_variant | m d md c g cg k s ks |
| building | Verbundindex |
| bvnumber | BV001969082 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)231742697 (DE-599)BVBBV001969082 |
| dewey-full | 510/.8 514/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510/.8 514/.3 |
| dewey-search | 510/.8 514/.3 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02682nam a2200697 cb4500</leader><controlfield tag="001">BV001969082</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240314 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1976 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540077979</subfield><subfield code="9">3-540-07797-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387077979</subfield><subfield code="9">0-387-07797-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540077978</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-540-07797-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)231742697</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV001969082</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-N2</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510/.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.3</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">28Dxx</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">54H20</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Denker, Manfred</subfield><subfield code="d">1944-</subfield><subfield code="0">(DE-588)108215253</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ergodic theory on compact spaces</subfield><subfield code="c">Manfred Denker ; Christian Grillenberger ; Karl Sigmund</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg ; New York</subfield><subfield code="b">Springer</subfield><subfield code="c">1976</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IV, 360 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">527</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamique topologique</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Ergodiciteit</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Espaces localement compacts</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Espaces métriques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Metrische ruimten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Théorie ergodique</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Topologische dynamica</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compact spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ergodic theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Metric spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological dynamics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Topologische Dynamik</subfield><subfield code="0">(DE-588)4253345-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kompakter Raum</subfield><subfield code="0">(DE-588)4164857-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ergodentheorie</subfield><subfield code="0">(DE-588)4015246-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ergodentheorie</subfield><subfield code="0">(DE-588)4015246-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Topologische Dynamik</subfield><subfield code="0">(DE-588)4253345-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Ergodentheorie</subfield><subfield code="0">(DE-588)4015246-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Kompakter Raum</subfield><subfield code="0">(DE-588)4164857-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Grillenberger, Christian</subfield><subfield code="d">1941-1998</subfield><subfield code="0">(DE-588)143408356</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sigmund, Karl</subfield><subfield code="d">1945-</subfield><subfield code="0">(DE-588)115427368</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-540-07797-8</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">527</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">527</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001284200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001284200</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK5060393</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK08540155</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK20430606</subfield></datafield></record></collection> |
| id | DE-604.BV001969082 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:06Z |
| institution | BVB |
| isbn | 3540077979 0387077979 9783540077978 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001284200 |
| oclc_num | 231742697 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-19 DE-BY-UBM DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-706 DE-83 DE-11 DE-188 DE-N2 |
| owner_facet | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-19 DE-BY-UBM DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-706 DE-83 DE-11 DE-188 DE-N2 |
| physical | IV, 360 Seiten |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Denker, Manfred 1944- (DE-588)108215253 aut Ergodic theory on compact spaces Manfred Denker ; Christian Grillenberger ; Karl Sigmund Berlin ; Heidelberg ; New York Springer 1976 IV, 360 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 527 Dynamique topologique Ergodiciteit gtt Espaces localement compacts Espaces métriques Metrische ruimten gtt Théorie ergodique Topologische dynamica gtt Compact spaces Ergodic theory Metric spaces Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Kompakter Raum (DE-588)4164857-2 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 Kompakter Raum (DE-588)4164857-2 s Grillenberger, Christian 1941-1998 (DE-588)143408356 aut Sigmund, Karl 1945- (DE-588)115427368 aut Erscheint auch als Online-Ausgabe 978-3-540-07797-8 Lecture notes in mathematics 527 (DE-604)BV000676446 527 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001284200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Denker, Manfred 1944- Grillenberger, Christian 1941-1998 Sigmund, Karl 1945- Ergodic theory on compact spaces Lecture notes in mathematics Dynamique topologique Ergodiciteit gtt Espaces localement compacts Espaces métriques Metrische ruimten gtt Théorie ergodique Topologische dynamica gtt Compact spaces Ergodic theory Metric spaces Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd Kompakter Raum (DE-588)4164857-2 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4253345-4 (DE-588)4164857-2 (DE-588)4015246-7 |
| title | Ergodic theory on compact spaces |
| title_auth | Ergodic theory on compact spaces |
| title_exact_search | Ergodic theory on compact spaces |
| title_full | Ergodic theory on compact spaces Manfred Denker ; Christian Grillenberger ; Karl Sigmund |
| title_fullStr | Ergodic theory on compact spaces Manfred Denker ; Christian Grillenberger ; Karl Sigmund |
| title_full_unstemmed | Ergodic theory on compact spaces Manfred Denker ; Christian Grillenberger ; Karl Sigmund |
| title_short | Ergodic theory on compact spaces |
| title_sort | ergodic theory on compact spaces |
| topic | Dynamique topologique Ergodiciteit gtt Espaces localement compacts Espaces métriques Metrische ruimten gtt Théorie ergodique Topologische dynamica gtt Compact spaces Ergodic theory Metric spaces Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd Kompakter Raum (DE-588)4164857-2 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Dynamique topologique Ergodiciteit Espaces localement compacts Espaces métriques Metrische ruimten Théorie ergodique Topologische dynamica Compact spaces Ergodic theory Metric spaces Topological dynamics Topologische Dynamik Kompakter Raum Ergodentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001284200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT denkermanfred ergodictheoryoncompactspaces AT grillenbergerchristian ergodictheoryoncompactspaces AT sigmundkarl ergodictheoryoncompactspaces |