Strong statistical stability of non-uniformly expanding maps
Dynamical Systems
2009-11-10 v1
Abstract
We consider families of transformations in multidimensional Riemannian manifolds with non-uniformly expanding behavior. We give sufficient conditions for the continuous variation (in the -norm) of the densities of absolutely continuous (with respect to the Lebesgue measure) invariant probability measures for those transformations.
Cite
@article{arxiv.math/0311439,
title = {Strong statistical stability of non-uniformly expanding maps},
author = {Jose F. Alves},
journal= {arXiv preprint arXiv:math/0311439},
year = {2009}
}
Comments
21 pages