Equilibrium States for Non-uniformly expanding maps
Dynamical Systems
2010-07-29 v1
Abstract
We construct equilibrium states, including measures of maximal entropy, for a large (open) class of non-uniformly expanding maps on compact manifolds. Moreover, we study uniqueness of these equilibrium states, as well as some of their ergodic properties.
Cite
@article{arxiv.math/0607347,
title = {Equilibrium States for Non-uniformly expanding maps},
author = {Krerley Oliveira},
journal= {arXiv preprint arXiv:math/0607347},
year = {2010}
}
Comments
18 pages