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Absolutely continuous, invariant measures for dissipative, ergodic transformations

Jon. Aaronson·Tom Meyerovitch
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Abstract

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.

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Jon. Aaronson, Tom Meyerovitch. 2007-06-28. Absolutely continuous, invariant measures for dissipative, ergodic transformations. https://arxiv.org/abs/math/0509093

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