Stochastic stability of non-uniformly hyperbolic diffeomorphisms

Alves, JF; Araujo V.; Vasquez, CH

Abstract

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 C2-open class of non-uniformly hyperbolic diffeomorphisms introduced by Alves, Bonatti and Viana in [2] are stochastically stable. © World Scientific Publishing Company.

Más información

Título según WOS: Stochastic stability of non-uniformly hyperbolic diffeomorphisms
Título según SCOPUS: Stochastic stability of non-uniformly hyperbolic diffeomorphisms
Título de la Revista: STOCHASTICS AND DYNAMICS
Volumen: 7
Número: 3
Editorial: WORLD SCIENTIFIC PUBL CO PTE LTD
Fecha de publicación: 2007
Página de inicio: 299
Página final: 333
Idioma: English
URL: http://www.worldscientific.com/doi/abs/10.1142/S0219493707002049
DOI:

10.1142/S0219493707002049

Notas: ISI, SCOPUS - ISI