Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers

Abstract

We prove the stochastic stability of an open class of partially hyperbolic diffeomorphisms, each of which admits two centers $E_1^c$ and $E_2^c$ such that any Gibbs $u$-state admits only positive (resp. negative) Lyapunov exponents along $E_1^c$ (resp. $E_2^c$).

References in corpus (5)

• Random perturbations of non-uniformly expanding maps
• Geometrical and measure-theoretic structures of maps with mostly expanding center
• Statistical stability of mostly expanding diffeomorphisms
• On the abundance of SRB measures
• Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers