Statistical stability for diffeomorphisms with dominated splitting

CARLOS H. VÁSQUEZ

doi:10.1017/S0143385706000721

Abstract

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.

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Statistical stability for diffeomorphisms with dominated splitting

Abstract

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Statistical stability for diffeomorphisms with dominated splitting

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