arXiv 2103.07323, 2021
Carrasco, P. D., & Rodriguez Hertz, F. (2021). Equilibrium states for center isometries. ArXiv 2103.07323.
Carrasco, Pablo D., and Federico Rodriguez Hertz. “Equilibrium States for Center Isometries.” arXiv 2103.07323 (2021).
Carrasco, Pablo D., and Federico Rodriguez Hertz. “Equilibrium States for Center Isometries.” ArXiv 2103.07323, 2021.
We develop a geometric method to establish existence and uniqueness of equilibrium states associated to some Hölder potentials for center isometries (as are regular elements of Anosov actions), in particular the entropy maximizing measure and the SRB measure. It is also given a characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.