Equilibrium States for Center Isometries
arXiv:2103.07323 · doi:10.1017/S147474802300018X
Abstract
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.
53 pages. This version incorporates the reviewer suggestions and corrections. To appear in Journal of the Institute of Mathematics of Jussieu