On equilibrium states for certain partially hyperbolic endomorphisms with one-dimensional center
Dynamical Systems
2025-12-18 v1
Abstract
In this paper, the equilibrium states for a non-degenerate partially hyperbolic endomorphism on a closed Riemannian manifold with one-dimensional center bundle are investigated. Applying the criterion of Climenhaga-Thompson (\cite{CT21}) and the method of Mongez-Pacifico (\cite{Mongez}), we use the techniques of inverse limit to obtain the uniqueness and robustness of equilibrium states for and any H\"{o}lder continuous potential satisfying certain conditions about the unstable pressure and stable pressure.
Cite
@article{arxiv.2512.15253,
title = {On equilibrium states for certain partially hyperbolic endomorphisms with one-dimensional center},
author = {Yifan Zhang and Yujun Zhu},
journal= {arXiv preprint arXiv:2512.15253},
year = {2025}
}