Stochastic stability at the boundary of expanding maps
Dynamical Systems
2009-11-10 v1
Abstract
We consider endomorphisms of a compact manifold which are expanding except for a finite number of points and prove the existence and uniqueness of a physical measure and its stochastical stability. We also characterize the zero-noise limit measures for a model of the intermittent map and obtain stochastic stability for some values of the parameter. The physical measures are obtained as zero-noise limits which are shown to satisfy Pesin?s Entropy Formula.
Keywords
Cite
@article{arxiv.math/0404368,
title = {Stochastic stability at the boundary of expanding maps},
author = {Vitor Araujo and Ali Tahzibi},
journal= {arXiv preprint arXiv:math/0404368},
year = {2009}
}