Topics in Orbit Equivalence - Lecture Notes in Mathematics - Alexander Kechris - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783540226031 - 2004. gada 26. augusts
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Alexander Kechris
Topics in Orbit Equivalence - Lecture Notes in Mathematics 2004 edition

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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 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.

138 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2004. gada 26. augusts
ISBN13 9783540226031
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 138
Izmēri 156 × 234 × 8 mm   ·   217 g
Valoda Angļu   Vācu  

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