Generic expanding maps without absolutely continuous invariant $\sigma$-finite measure
Dynamical Systems
2007-05-23 v1
Abstract
We show that a -generic expanding map of the circle has no absolutely continuous invariant -finite measure.
Cite
@article{arxiv.math/0608062,
title = {Generic expanding maps without absolutely continuous invariant $\sigma$-finite measure},
author = {Artur Avila and Jairo Bochi},
journal= {arXiv preprint arXiv:math/0608062},
year = {2007}
}
Comments
10 pages