Equilibrium states of interval maps for hyperbolic potentials

Published 25 Oct 2012 in math.DS | (1210.6952v3)

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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