On measures ergodic with respect to an analytic equivalence relation-Reference-Cited by-同舟云学术

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On measures ergodic with respect to an analytic equivalence relation

Published:1997 Issue:12 Volume:349 Page:4815-4823
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Louveau Alain,Mokobodzki Gabriel

Abstract

In this paper, we prove that the set of probability measures which are ergodic with respect to an analytic equivalence relation is an analytic set. This is obtained by approximating analytic equivalence relations by measures, and is used to give an elementary proof of an ergodic decomposition theorem of Kechris.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1997-349-12/S0002-9947-97-02070-9/S0002-9947-97-02070-9.pdf

Reference4 articles.

1. [D] A. Ditzen, Definable equivalence relations on Polish spaces, Ph.D. Thesis, Caltech (1992).

2. [Ke] A.S. Kechris, Lectures on definable group actions and equivalence relations, forthcoming monograph.

3. London Mathematical Society Lecture Note Series;Kechris, Alexander S.,1987

4. De Gruyter Studies in Mathematics;Krengel, Ulrich,1985

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