Equilibrium states for partially hyperbolic diffeomorphisms with   hyperbolic linear part
  We address the problem of existence and uniqueness (finite- ness) 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. 
Jorge Crisostomo and Ali Tahzibi
math.DS