Equivalent characterizations of hyperbolic Hölder potential for interval maps

Abstract

Consider a topologically exact $C^3$ interval map without non-flat critical points. Following the works we did in \cite{LiRiv12two}, we give two equivalent characterizations of hyperbolic Hölder continuous potential in terms of the Lyapunov exponents and the measure-theoretic entropies of equilibrium states for those potentials.

15 pages. arXiv admin note: substantial text overlap with arXiv:1210.0521