Absolutely continuous invariant measures for some piecewise hyperbolic affine maps
Dynamical Systems
2007-05-23 v1
Abstract
A class of piecewise affine hyperbolic maps on a bounded subset of the plane is considered. It is shown that if a map from this class is sufficiently area-expanding then almost surely this map has an absolutely continuous invariant measure.
Cite
@article{arxiv.math/0510673,
title = {Absolutely continuous invariant measures for some piecewise hyperbolic affine maps},
author = {Tomas Persson},
journal= {arXiv preprint arXiv:math/0510673},
year = {2007}
}
Comments
18 pages, 1 figure