Equilibrium states for certain partially hyperbolic attractors
Dynamical Systems
2020-06-24 v1
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 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.
Cite
@article{arxiv.1909.05230,
title = {Equilibrium states for certain partially hyperbolic attractors},
author = {Todd Fisher and Krerley Oliveira},
journal= {arXiv preprint arXiv:1909.05230},
year = {2020}
}
Comments
14 pages, 1 figure