Equilibrium states for certain partially hyperbolic attractors

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.

14 pages, 1 figure

References in corpus (2)

• Unique equilibrium states for flows and homeomorphisms with non-uniform structure
• Statistical properties of the maximal entropy measure for partially hyperbolic attractors