Absolutely continuous, invariant measures for dissipative, ergodic transformations

Jon Aaronson, and Tom Meyerovitch. "Absolutely continuous, invariant measures for dissipative, ergodic transformations." Colloquium Mathematicae 110.1 (2008): 193-199. <http://eudml.org/doc/283636>.

@article{JonAaronson2008,
abstract = {We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.},
author = {Jon Aaronson, Tom Meyerovitch},
journal = {Colloquium Mathematicae},
keywords = {measure-preserving transformation; wandering set},
language = {eng},
number = {1},
pages = {193-199},
title = {Absolutely continuous, invariant measures for dissipative, ergodic transformations},
url = {http://eudml.org/doc/283636},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Jon Aaronson
AU - Tom Meyerovitch
TI - Absolutely continuous, invariant measures for dissipative, ergodic transformations
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 1
SP - 193
EP - 199
AB - We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.
LA - eng
KW - measure-preserving transformation; wandering set
UR - http://eudml.org/doc/283636
ER -