Absolutely continuous, invariant measures
for dissipative, ergodic transformations
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.
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
Affiliations des auteurs :
Jon Aaronson 1 ; Tom Meyerovitch 1
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author = {Jon Aaronson and Tom Meyerovitch},
title = {Absolutely continuous, invariant measures
for dissipative, ergodic transformations},
journal = {Colloquium Mathematicum},
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volume = {110},
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year = {2008},
doi = {10.4064/cm110-1-7},
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%0 Journal Article %A Jon Aaronson %A Tom Meyerovitch %T Absolutely continuous, invariant measures for dissipative, ergodic transformations %J Colloquium Mathematicum %D 2008 %P 193-199 %V 110 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm110-1-7/ %R 10.4064/cm110-1-7 %G en %F 10_4064_cm110_1_7
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
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