English

Robustness and uniqueness of equilibrium states for certain partially hyperbolic systems

Dynamical Systems 2024-12-06 v2

Abstract

We prove that if ff is a C1+C^{1+} partially hyperbolic diffeomorphism satisfying certain conditions then there is a C1C^1-open neighborhood \cA\cA of ff so that every g\cADiff1+(M)g\in \cA\cap \operatorname{Diff}^{1+}(M) has a unique equilibrium state.

Keywords

Cite

@article{arxiv.2306.12323,
  title  = {Robustness and uniqueness of equilibrium states for certain partially hyperbolic systems},
  author = {Juan Carlos Mongez and Maria José Pacifico},
  journal= {arXiv preprint arXiv:2306.12323},
  year   = {2024}
}