Absolutely continuous, invariant measures for dissipative, ergodic transformations
Dynamical Systems
2010-06-01 v3 Probability
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.
Cite
@article{arxiv.math/0509093,
title = {Absolutely continuous, invariant measures for dissipative, ergodic transformations},
author = {Jon. Aaronson and Tom Meyerovitch},
journal= {arXiv preprint arXiv:math/0509093},
year = {2010}
}
Comments
example and reference added