Equilibrium States for Random Non-uniformly Expanding Maps
Dynamical Systems
2009-11-10 v1
Abstract
We show that, for a robust (-open) class of random non-uniformly expanding maps, there exists equilibrium states for a large class of potentials.In particular, these sytems have measures of maximal entropy. These results also give a partial answer to a question posed by Liu-Zhao. The proof of the main result uses an extension of techniques in recent works by Alves-Ara\'ujo, Alves-Bonatti-Viana and Oliveira.
Cite
@article{arxiv.math/0307071,
title = {Equilibrium States for Random Non-uniformly Expanding Maps},
author = {Alexander Arbieto and Carlos Matheus and Krerley Oliveira},
journal= {arXiv preprint arXiv:math/0307071},
year = {2009}
}