Topics in Orbit Equivalence is popular PDF and ePub book, written by Alexander S. Kechris in 2004-08-26, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Topics in Orbit Equivalence can be Read Online from any device for your convenience.
Topics in Orbit Equivalence Book PDF Summary
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.
Detail Book of Topics in Orbit Equivalence PDF
- Author : Alexander S. Kechris
- Release : 26 August 2004
- Publisher : Springer Science & Business Media
- ISBN : 3540226036
- Genre : Computers
- Total Page : 148 pages
- Language : English
- PDF File Size : 9,5 Mb
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