Continuity of entropy map for nonuniformly hyperbolic systems
Dynamical Systems
2014-07-31 v1
Abstract
We prove that entropy map is upper semi-continuous for C1 nonuniformly hyperbolic systems with domination, while it is not true for C1+alpha nonuniformly hyperbolic systems in general. This goes a little against a common intuition that conclusions are parallel between C1+domination systems and C1+alpha systems.
Cite
@article{arxiv.1407.8102,
title = {Continuity of entropy map for nonuniformly hyperbolic systems},
author = {Gang Liao and Wenxiang Sun and Shirou Wang},
journal= {arXiv preprint arXiv:1407.8102},
year = {2014}
}
Comments
15 pages, 2 figures