Stochastic stability of non-uniformly hyperbolic diffeomorphisms

José F. Alves, Vítor Araújo, Carlos H. Vásquez

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

11 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Páginas (desde-hasta)299-333
Número de páginas35
PublicaciónStochastics and Dynamics
Volumen7
N.º3
DOI
EstadoPublicada - sept. 2007
Publicado de forma externa

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