Absolutely continuous, invariant measures for dissipative, ergodic transformations
动力系统
2010-06-01 v3 概率论
摘要
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.
引用
@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}
}
备注
example and reference added