Resumen de Statistical stability for diffeomorphisms with dominated splitting

Carlos H. Vásquez

• Alves, Bonatti and Viana have recently shown that physical (or Sinai¿Ruelle¿Bowen) invariant measures exist for partially hyperbolic diffeomorphisms with mostly expanding center-unstable direction. In this paper we prove that such systems are statistically stable, that is, nearby diffeomorphisms have nearby physical measures.