Topics in Orbit Equivalence
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 integ...
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| Format: | Livre numérique |
| Sprache: | Anglais |
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Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1852 |
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| Edition sous un autre format: | • Topics in orbit equivalence, Alexander Kechris S., Benjamin D. Miller, 2004, Berlin, Springer, 1 vol. (X-134 p.), Lecture notes in mathematics, 3-540-22603-6 • Topics in Orbit Equivalence, Texte imprimé, 9783662164808 |
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| 100 | 1 | |a Kechris, Alexander Sotirios, |d 1946-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Topics in Orbit Equivalence |c Alexander S. Kechris, Benjamin D. Miller. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1852 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preface -- I. Orbit Equivalence -- II. Amenability and Hyperfiniteness -- III. Costs of Equivalence Relations and Groups -- References -- Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Relations d'équivalence (théorie des ensembles) | ||
| 650 | |a Groupes topologiques de transformations | ||
| 650 | |a Théorie descriptive des ensembles | ||
| 650 | |a Analyse harmonique (mathématiques) | ||
| 650 | |a Logique symbolique et mathématique | ||
| 650 | |a Topologie | ||
| 650 | |a Mathématiques | ||
| 650 | |a Fonctions d'une variable réelle | ||
| 700 | 1 | |a Miller, Benjamin David, |d 1977- |4 aut | |
| 776 | 0 | |0 080293778 |t Topics in orbit equivalence |f Alexander Kechris S., Benjamin D. Miller |d 2004 |c Berlin |n Springer |p 1 vol. (X-134 p.) |s Lecture notes in mathematics |z 3-540-22603-6 | |
| 776 | 0 | |t Topics in Orbit Equivalence |b Texte imprimé |z 9783662164808 | |
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| 856 | 4 | |5 180339901:753990857 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b99421 |z Accès INSA CVL | |
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