Item description for Topics in Orbit Equivalence (Lecture Notes in Mathematics) by Alexander S. Kechris & Benjamin D. Miller...
Thisvolume 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.
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Est. Packaging Dimensions: Length: 0.5" Width: 6" Height: 9" Weight: 0.5 lbs.
Release Date Oct 15, 2004
ISBN 3540226036 ISBN13 9783540226031
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More About Alexander S. Kechris & Benjamin D. Miller
Alexander S. Kechris is Professor of Mathematics at the California Institute of Technology. He is the recipient of numerous honors, including the J. S. Guggenheim Memorial Foundation Fellowship and the Carol Karp Prize of the Association for Symbolic Logic. He is also a member of the Scientific Research Board of the American Institute of Mathematics.
Alexander S. Kechris has an academic affiliation as follows - California Institute of Technology.