Equilibrium states for piecewise monotonic transformations

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Abstract

We show that equilibrium states μ of a function φ on ([0,1], T), where T is piecewise monotonic, have strong ergodic properties in the following three cases:(i) sup φ — inf φ

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Hofbauer, F., & Keller, G. (1982). Equilibrium states for piecewise monotonic transformations. Ergodic Theory and Dynamical Systems, 2(1), 23–43. https://doi.org/10.1017/S014338570000955X

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