Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-23T21:54:45.683Z Has data issue: false hasContentIssue false
  • English
  • Français

Statistical stability for diffeomorphisms with dominated splitting

Published online by Cambridge University Press:  14 November 2006

CARLOS H. VÁSQUEZ
CARLOS H. VÁSQUEZ
Affiliation:
Universidad Católica del Norte, Departamento de Matemáticas, Casilla 1280, Antofagasta, Chile (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 1 , February 2007 , pp. 253 - 283
Copyright
2006 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)