Topics in Orbit Equivalence [[electronic resource] /] / by Alexander Kechris, Benjamin D. Miller
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| Autore: |
Kechris Alexander
|
| Titolo: |
Topics in Orbit Equivalence [[electronic resource] /] / 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.: | 996466498903316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1852