{"product_id":"topics-in-orbit-equivalence-2004","title":"Topics in Orbit Equivalence","description":"\u003cp\u003e\"Topics in Orbit Equivalence\" by Alexander S. Kechris, Benjamin D. Miller is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.\u003c\/p\u003e\n\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Springer Science \u0026 Business Media","offers":[{"title":"Default Title","offer_id":46417004495047,"sku":"1-99-510-003130","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0736\/9575\/6487\/files\/9783540226031.jpg?v=1776284537","url":"https:\/\/snowflakeskies.com\/products\/topics-in-orbit-equivalence-2004","provider":"Snowflake Skies","version":"1.0","type":"link"}