Statistical stability for diffeomorphisms with dominated splitting

• Autores: Carlos H. Vásquez
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 1, 2007, págs. 253-283
• Idioma: inglés
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• Resumen

  • 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.