English

Unique equilibrium states for some partially hyperbolic diffeomorphisms with dominated splittings

Dynamical Systems 2025-09-03 v1

Abstract

We prove robustness and uniqueness of equilibrium states for a class of partially hyperbolic diffeomorphisms with dominated splittings and H\"older continuous potentials with not very large oscillation.

Keywords

Cite

@article{arxiv.2509.00681,
  title  = {Unique equilibrium states for some partially hyperbolic diffeomorphisms with dominated splittings},
  author = {Qiao Liu and Jianxiang Liao},
  journal= {arXiv preprint arXiv:2509.00681},
  year   = {2025}
}
R2 v1 2026-07-01T05:13:49.340Z