Absolutely continuous, invariant measures for dissipative, ergodic transformations

Details Absolutely continuous, invariant measures for dissipative, ergodic transformations Absolutely continuous, invariant measures for dissipative, ergodic transformations

2005-09-05

arxiv.org/abs/math/0509093v3

Colloq. Math. 110 (2008), no. 1, 193--199

Mathematics

Dynamical Systems

example and reference added

Scientific paper

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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