Transactions of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6850(e) ISSN 0002-9947(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

On measures ergodic with respect to an analytic equivalence relation

Author(s): Alain Louveau; Gabriel Mokobodzki
Journal: Trans. Amer. Math. Soc. 349 (1997), 4815-4823.
MSC (1991): Primary 04A15, 28D99
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Abstract | References | Similar articles | Additional information

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.

References:

[D]: A. Ditzen, Definable equivalence relations on Polish spaces, Ph.D. Thesis, Caltech (1992).
[Ke]: A.S. Kechris, Lectures on definable group actions and equivalence relations, forthcoming monograph.
[KL]: A.S Kechris, A. Louveau, Descriptive Set Theory and the Structure of Sets of Uniqueness, London Mat. Soc. Lecture Notes Series 128, Cambridge Univ. Press, 1987. MR 90a:42008
[Kr]: U. Krengel, Ergodic theorems, de Gruyter Berlin-New York (1985). MR 87i:28001


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS