Equivalent characterizations of hyperbolic Hölder potential for interval maps

preprint2013arXivOpen access

Abstract

Consider a topologically exact C3C^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.

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