Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part

摘要

We address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for a natural class of partially hyperbolic dynamics homotopic to Anosov. We propose to study the disintegration of equilibrium states along central foliation as a tool to develop the theory of equilibrium states for partially hyperbolic dynamics homotopic to Anosov on T-3.