Uniqueness and Continuity of Equilibrium States for DA-Diffeomorphisms

In this paper we focused our study on Derived from Anosov diffeomorphisms (DA-diffeomorphisms) of 𝕋^3 , that is, an absolutely partially hyperbolic diffeomorphisms on 𝕋^3 which are homotopic and semi-conjugate to an Anosov linear automorphism of 𝕋^3 . In this class of dynamics, the existence of ergodic equilibrium states is known, we study the uniqueness and continuity properties of such equilibrium states for lifted potential functions.