Equilibrium States for Piecewise Weakly Convex Interval Maps

Nicolás Arévalo-Hurtado

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arXiv · 2412.06423

Equilibrium States for Piecewise Weakly Convex Interval Maps

Nicolás Arévalo-Hurtado

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Abstract

We prove the existence of equilibrium states for geometric potentials in a class of piecewise weakly convex interval maps. This class includes systems with indifferent fixed points and non-Markov partitions. Under additional hypotheses we also obtain uniqueness.

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Nicolás Arévalo-Hurtado. 2024-12-09. Equilibrium States for Piecewise Weakly Convex Interval Maps. https://arxiv.org/abs/2412.06423

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