Equivalent characterizations of hyperbolic H\"older potential for interval maps
Dynamical Systems
2013-08-20 v3
Abstract
Consider a topologically exact interval map without non-flat critical points. Following the works we did in \cite{LiRiv12two}, we give two equivalent characterizations of hyperbolic H\"{o}lder continuous potential in terms of the Lyapunov exponents and the measure-theoretic entropies of equilibrium states for those potentials.
Cite
@article{arxiv.1307.1297,
title = {Equivalent characterizations of hyperbolic H\"older potential for interval maps},
author = {Huaibin Li},
journal= {arXiv preprint arXiv:1307.1297},
year = {2013}
}
Comments
15 pages. arXiv admin note: substantial text overlap with arXiv:1210.0521