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arXiv:math/0509093 [math.DS]AbstractReferencesReviewsResources

Absolutely continuous, invariant measures for dissipative, ergodic transformations

Jon. Aaronson, Tom Meyerovitch

Published 2005-09-05, updated 2007-06-28Version 3

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.

Comments: example and reference added
Journal: Colloq. Math. 110 (2008), no. 1, 193--199
Categories: math.DS, math.PR
Subjects: 37A05, 37A40
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