English

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 C2C^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.

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

R2 v1 2026-06-23T11:12:38.164Z