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On measures ergodic with respect to an analytic equivalence relation |
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| Authors: | Alain Louveau Gabriel Mokobodzki |
| Institution: | Equipe d'Analyse, Université Paris VI, 75230 Paris Cedex 5, France ; Equipe d'Analyse, Université Paris VI, 75230 Paris Cedex 5, France |
| 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. |
| Keywords: | Analytic equivalence relation ergodic measure ergodic decomposition |
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