Absolutely continuous, invariant measures for dissipative, ergodic transformations
classification
🧮 math.DS
math.PR
keywords
ergodicabsolutelycontinuousdissipativeinvariantmeasuremeasuresalways
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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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