SRB measures for weakly expanding maps
Dynamical Systems
2009-11-11 v2
Abstract
We construct SRB measures for endomorphisms satisfying conditions far weaker than the non-uniformly expansion. As a consequence, the definition of non-uniformly expanding map can be weakened. We also prove the existence of an absolutely continuous invariant measure for local diffeomorphisms, only assuming the existence of hyperbolic times for Lebesgue almost all point of the manifold.
Cite
@article{arxiv.math/0503433,
title = {SRB measures for weakly expanding maps},
author = {Vilton Pinheiro},
journal= {arXiv preprint arXiv:math/0503433},
year = {2009}
}