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arXiv · 1210.6952

Equilibrium states of interval maps for hyperbolic potentials

Huaibin Li·Juan Rivera-Letelier
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Abstract

We study the thermodynamic formalism of sufficiently regular interval maps for Holder continuous potentials. We show that for a hyperbolic potential there is a unique equilibrium state, and that this measure is exponentially mixing. Moreover, we show the absence of phase transitions: The pressure function is real analytic at such a potential.

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Huaibin Li, Juan Rivera-Letelier. 2014-04-30. Equilibrium states of interval maps for hyperbolic potentials. https://arxiv.org/abs/1210.6952

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