Equivalent characterizations of hyperbolic Hölder potential for interval maps

Li, Huaibin

doi:10.1090/S0002-9939-2014-12568-8

Equivalent characterizations of hyperbolic Hölder potential for interval maps
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Proc. Amer. Math. Soc. 143 (2015), 2129-2141 Request permission

Abstract:

Consider a topologically exact $C^3$ interval map without non-flat critical points. Following previous work we did, 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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