Restricted orbit equivalence for actions of discrete amenable groups:
This 2002 monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Diff...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2002
|
| Schriftenreihe: | Cambridge tracts in mathematics
146 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This 2002 monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's Isomorphism theory, Kakutani Equivalence theory and a list of others. By putting such restrictions in an axiomatic framework, a general approach is developed that encompasses all these examples simultaneously and gives insight into how to seek further applications. The work is placed in the context of discrete amenable group actions where time is not required to be one-dimensional, making the results applicable to a much wider range of problems and examples |
| Beschreibung: | 1 Online-Ressource (vi, 201 Seiten) |
| ISBN: | 9780511549908 |
| DOI: | 10.1017/CBO9780511549908 |
Internformat
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| 520 | |a This 2002 monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's Isomorphism theory, Kakutani Equivalence theory and a list of others. By putting such restrictions in an axiomatic framework, a general approach is developed that encompasses all these examples simultaneously and gives insight into how to seek further applications. The work is placed in the context of discrete amenable group actions where time is not required to be one-dimensional, making the results applicable to a much wider range of problems and examples | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kammeyer, Janet Whalen 1963- |
| author_GND | (DE-588)173548253 |
| author_facet | Kammeyer, Janet Whalen 1963- |
| author_role | aut |
| author_sort | Kammeyer, Janet Whalen 1963- |
| author_variant | j w k jw jwk |
| building | Verbundindex |
| bvnumber | BV043942047 |
| classification_rvk | SK 810 |
| collection | ZDB-20-CBO |
| contents | 1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem |
| ctrlnum | (ZDB-20-CBO)CR9780511549908 (OCoLC)850495795 (DE-599)BVBBV043942047 |
| dewey-full | 515/.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.42 |
| dewey-search | 515/.42 |
| dewey-sort | 3515 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511549908 |
| format | Electronic eBook |
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| id | DE-604.BV043942047 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511549908 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351017 |
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| physical | 1 Online-Ressource (vi, 201 Seiten) |
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| publishDate | 2002 |
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| publisher | Cambridge University Press |
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| spelling | Kammeyer, Janet Whalen 1963- Verfasser (DE-588)173548253 aut Restricted orbit equivalence for actions of discrete amenable groups Janet Whalen Kammeyer, Daniel J. Rudolph Cambridge Cambridge University Press 2002 1 Online-Ressource (vi, 201 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 146 1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem This 2002 monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's Isomorphism theory, Kakutani Equivalence theory and a list of others. By putting such restrictions in an axiomatic framework, a general approach is developed that encompasses all these examples simultaneously and gives insight into how to seek further applications. The work is placed in the context of discrete amenable group actions where time is not required to be one-dimensional, making the results applicable to a much wider range of problems and examples Measure-preserving transformations Entropy (Information theory) Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Orbit Mathematik (DE-588)4238277-4 gnd rswk-swf Amenable Gruppe (DE-588)4120879-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Ergodentheorie (DE-588)4015246-7 s Amenable Gruppe (DE-588)4120879-1 s Orbit Mathematik (DE-588)4238277-4 s DE-604 Rudolph, Daniel J. Sonstige oth Erscheint auch als Druck-Ausgabe 978-0-521-80795-1 Erscheint auch als Druck-Ausgabe 978-0-521-18385-7 https://doi.org/10.1017/CBO9780511549908 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kammeyer, Janet Whalen 1963- Restricted orbit equivalence for actions of discrete amenable groups 1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem Measure-preserving transformations Entropy (Information theory) Ergodentheorie (DE-588)4015246-7 gnd Dynamisches System (DE-588)4013396-5 gnd Orbit Mathematik (DE-588)4238277-4 gnd Amenable Gruppe (DE-588)4120879-1 gnd |
| subject_GND | (DE-588)4015246-7 (DE-588)4013396-5 (DE-588)4238277-4 (DE-588)4120879-1 |
| title | Restricted orbit equivalence for actions of discrete amenable groups |
| title_auth | Restricted orbit equivalence for actions of discrete amenable groups |
| title_exact_search | Restricted orbit equivalence for actions of discrete amenable groups |
| title_full | Restricted orbit equivalence for actions of discrete amenable groups Janet Whalen Kammeyer, Daniel J. Rudolph |
| title_fullStr | Restricted orbit equivalence for actions of discrete amenable groups Janet Whalen Kammeyer, Daniel J. Rudolph |
| title_full_unstemmed | Restricted orbit equivalence for actions of discrete amenable groups Janet Whalen Kammeyer, Daniel J. Rudolph |
| title_short | Restricted orbit equivalence for actions of discrete amenable groups |
| title_sort | restricted orbit equivalence for actions of discrete amenable groups |
| topic | Measure-preserving transformations Entropy (Information theory) Ergodentheorie (DE-588)4015246-7 gnd Dynamisches System (DE-588)4013396-5 gnd Orbit Mathematik (DE-588)4238277-4 gnd Amenable Gruppe (DE-588)4120879-1 gnd |
| topic_facet | Measure-preserving transformations Entropy (Information theory) Ergodentheorie Dynamisches System Orbit Mathematik Amenable Gruppe |
| url | https://doi.org/10.1017/CBO9780511549908 |
| work_keys_str_mv | AT kammeyerjanetwhalen restrictedorbitequivalenceforactionsofdiscreteamenablegroups AT rudolphdanielj restrictedorbitequivalenceforactionsofdiscreteamenablegroups |