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arxiv: 1307.1297 · v3 · pith:OIUW5ZJHnew · submitted 2013-07-04 · 🧮 math.DS

Equivalent characterizations of hyperbolic H\"older potential for interval maps

classification 🧮 math.DS
keywords characterizationsequivalenthyperbolicintervalpotentialciteconsidercontinuous
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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 H\"{o}lder continuous potential in terms of the Lyapunov exponents and the measure-theoretic entropies of equilibrium states for those potentials.

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