Geodesic
Ergodic decomposition of quasi-invariant probability measures
Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 495-514.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a Borel action of a locally compact second countable group or a discrete nonsingular equivalence relation. In the process we obtain a simultaneous ergodic decomposition of all quasi-invariant probability measures with a prescribed Radon-Nikodym derivative, analogous to classical results about decomposition of invariant probability measures.
DOI : 10.4064/cm-84/85-2-495-514
Keywords: ergodic decomposition, nonsingular group actions, nonsingular equivalence relations, quasi-invariant measures

Gernot Greschonig 1 ; Klaus Schmidt 1

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Gernot Greschonig; Klaus Schmidt. Ergodic decomposition of quasi-invariant probability measures. Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 495-514. doi : 10.4064/cm-84/85-2-495-514. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-495-514/

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