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arXiv · 1909.05230

Equilibrium states for certain partially hyperbolic attractors

Todd Fisher·Krerley Oliveira
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Abstract

We prove that a class of partially hyperbolic attractors introduced by Castro and Nascimento have unique equilibrium states for natural classes of potentials. We also show if the attractors are $C^2$ and have invariant stable and centerunstable foliations, then there is a unique equilibrium state for the geometric potential and its 1-parameter family. We do this by applying general techniques developed by Climenhaga and Thompson.

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Todd Fisher, Krerley Oliveira. 2019-09-11. Equilibrium states for certain partially hyperbolic attractors. https://doi.org/10.1088/1361-6544%2Fab8021

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