On equilibrium states for certain partially hyperbolic endomorphisms with one-dimensional center
Abstract
In this paper, the equilibrium states for a non-degenerate C2 partially hyperbolic endomorphism f on a closed Riemannian manifold M with one-dimensional center bundle are investigated. Applying the criterion of Climenhaga-Thompson (CT21) and the method of Mongez-Pacifico (Mongez), we use the techniques of inverse limit to obtain the uniqueness and robustness of equilibrium states for f and any H\"older continuous potential satisfying certain conditions about the unstable pressure and stable pressure.
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