Absolutely continuous, invariant measures for dissipative, ergodic transformations
Jon Aaronson ; Tom Meyerovitch
Colloquium Mathematicae, Tome 111 (2008), p. 193-199 / Harvested from The Polish Digital Mathematics Library
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We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:283636 
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     title = {Absolutely continuous, invariant measures for dissipative, ergodic transformations},
     journal = {Colloquium Mathematicae},
     volume = {111},
     year = {2008},
     pages = {193-199},
     zbl = {1142.37002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-7}
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Jon Aaronson; Tom Meyerovitch. Absolutely continuous, invariant measures for dissipative, ergodic transformations. Colloquium Mathematicae, Tome 111 (2008) pp. 193-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-7/