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1. |
Record Nr. |
UNISALENTO991001289569707536 |
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Autore |
Mohler, Ronald R. |
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Titolo |
Recent developments in variable structure systems, economics, and biology : proceedings of US-Italy seminar, Taormina, Sicily, August 29-September 2, 1977 / edited by R. R. Mohler and A. Ruberti |
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Pubbl/distr/stampa |
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Berlin : Springer-Verlag, 1978 |
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ISBN |
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Descrizione fisica |
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vi, 326 p. : ill. ; 24 cm |
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Collana |
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Lecture notes in economics and mathematical systems, 0075-8442 ; 162 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Variable structure systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Includes bibliographical references and index |
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2. |
Record Nr. |
UNINA9910144617803321 |
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Autore |
Kechris Alexander |
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Titolo |
Topics in Orbit Equivalence / / by Alexander Kechris, Benjamin D. Miller |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
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ISBN |
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Edizione |
[1st ed. 2004.] |
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Descrizione fisica |
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1 online resource (X, 138 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1852 |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Analysis (Mathematics) |
Logic, Symbolic and mathematical |
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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (pages 129-130) and index. |
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Nota di contenuto |
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Preface -- I. Orbit Equivalence -- II. Amenability and Hyperfiniteness -- III. Costs of Equivalence Relations and Groups -- References -- Index. |
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Sommario/riassunto |
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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 hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of |
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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. |
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