Stochastic stability of non-uniformly hyperbolic diffeomorphisms

• Type: Article in International Scientific Journal
• Date: 2007

Authors

alves, jf (Author) FCUP; araujo, v (Author) Other; vasquez, ch (Author) Other

Journal

Title: Stochastics and Dynamics

Vol. 7

Pages: 299-333

ISSN: 0219-4937

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-82G

DOI: 10.1142/s0219493707002049

Abstract (EN): We prove that the statistical properties of random perturbations of a diffeomorphism with dominated splitting having mostly contracting center-stable direction and non-uniformly expanding center-unstable direction are described by a finite number of stationary measures. We also give necessary and sufficient conditions for the stochastic stability of such dynamical systems. We show that a certain C-2-open class of non-uniformly hyperbolic diffeomorphisms introduced by Alves, Bonatti and Viana in [2] are stochastically stable.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 35