Geodesic
Absolutely continuous, invariant measures for dissipative, ergodic transformations
Jon Aaronson1 ; Tom Meyerovitch1
1 School of Mathematical Sciences Tel Aviv University 69978 Tel Aviv, Israel
Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 193-199.

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

We show that a dissipative, ergodic {measure preserving transformation} of a $\sigma $-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.
DOI : 10.4064/cm110-1-7
Keywords: dissipative ergodic measure preserving transformation sigma finite non atomic measure space always has many non proportional absolutely continuous invariant measures ergodic respect each these

Jon Aaronson 1 ; Tom Meyerovitch 1

1 School of Mathematical Sciences Tel Aviv University 69978 Tel Aviv, Israel 
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Jon Aaronson; Tom Meyerovitch. Absolutely continuous, invariant measures
 for dissipative, ergodic transformations. Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 193-199. doi : 10.4064/cm110-1-7. http://geodesic.mathdoc.fr/articles/10.4064/cm110-1-7/

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