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Topics in Orbit Equivalence
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Topics in Orbit Equivalence - neues Buch

ISBN: 9783540226031

ID: 9783540226031

This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems for actions of free groups. Textbooks New, Books~~Mathematics~~Logic, Topics-in-Orbit-Equivalence~~Alexander-S-Kechris, , , , , , , , , , Springer Berlin Heidelberg

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Topics In Orbit Equivalence
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This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and. This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems for actions of free groups. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, Topics In Orbit Equivalence~~Book~~9783540226031~~Alexander Kechris, Benjamin D Miller, , , , , , , , , ,, [PU: Springer, Berlin/Heidelberg]

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Topics in Orbit Equivalence - Alexander Kechris
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2004, ISBN: 3540226036

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[EAN: 9783540226031], Neubuch, [PU: Springer Aug 2004], ALGEBRA / GRUPPE (MATHEMATISCH); (MATHEMATISCH) - GRUPPENTHEORIE; GRUPPENTHEORIE ( ), This item is printed on demand - Print on Demand Neuware - This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems for actions of free groups. 138 pp. Englisch

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Topics in Orbit Equivalence - Kechris, Alexander S. Miller, B. D.
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Kechris, Alexander S. Miller, B. D.:
Topics in Orbit Equivalence - Taschenbuch

2004, ISBN: 9783540226031

[ED: Softcover], [PU: Springer, Berlin], This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems for actions of free groups.2004. x, 138 S. X, 138 p.Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Topics in Orbit Equivalence - Alexander Kechris; Benjamin D. Miller
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ISBN: 9783540226031

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Mathematics; Analysis; Mathematical Logic and Foundations; Real Functions; Dynamical Systems and Ergodic Theory; Abstract Harmonic Analysis; Topology Equivalence, amenability, cost, equivalence relations, hyperfiniteness, orbit equivalence, set, set theory Books Book, Springer Science+Business Media

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Details zum Buch
Topics in Orbit Equivalence
Autor:

Kechris, Alexander S.; Miller, Benjamin D.

Titel:

Topics in Orbit Equivalence

ISBN-Nummer:

This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems for actions of free groups.

Detailangaben zum Buch - Topics in Orbit Equivalence


EAN (ISBN-13): 9783540226031
ISBN (ISBN-10): 3540226036
Taschenbuch
Erscheinungsjahr: 2004
Herausgeber: Springer-Verlag GmbH
134 Seiten
Gewicht: 0,234 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 15.04.2007 21:59:57
Buch zuletzt gefunden am 04.02.2017 12:43:52
ISBN/EAN: 3540226036

ISBN - alternative Schreibweisen:
3-540-22603-6, 978-3-540-22603-1


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