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Autore: | Kechris Alexander |
Titolo: | Topics in Orbit Equivalence / / by Alexander Kechris, Benjamin D. Miller |
Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
Edizione: | 1st ed. 2004. |
Descrizione fisica: | 1 online resource (X, 138 p.) |
Disciplina: | 515.48 |
Soggetto topico: | Mathematical analysis |
Analysis (Mathematics) | |
Mathematical logic | |
Functions of real variables | |
Dynamics | |
Ergodic theory | |
Harmonic analysis | |
Topology | |
Analysis | |
Mathematical Logic and Foundations | |
Real Functions | |
Dynamical Systems and Ergodic Theory | |
Abstract Harmonic Analysis | |
Persona (resp. second.): | MillerBenjamin D |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references (pages 129-130) and index. |
Nota di contenuto: | Preface -- I. Orbit Equivalence -- II. Amenability and Hyperfiniteness -- III. Costs of Equivalence Relations and Groups -- References -- Index. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Topics in orbit equivalence |
ISBN: | 3-540-44508-0 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910144617803321 |
Lo trovi qui: | Univ. Federico II |
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