Absolutely continuous, invariant measures for dissipative, ergodic transformations
Volume 110 / 2008
Colloquium Mathematicum 110 (2008), 193-199
MSC: 37A05, 37A40.
DOI: 10.4064/cm110-1-7
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.
