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

2020/07/13 by Mi, Zeya
#37C40 #37D25 #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.06243

Abstract

We prove the stochastic stability of an open class of partially hyperbolic diffeomorphisms, each of which admits two centers E^c₁ and E^c₂ such that any Gibbs u-state admits only positive (resp. negative) Lyapunov exponents along E^c₁ (resp. E^c₂).

Related

• Statistical stability of mostly expanding diffeomorphisms
• Robust ergodic properties in partially hyperbolic dynamics
• Physical measures for partially hyperbolic diffeomorphisms with mixed hyperbolicity
• Random Products of Standard Maps
• Empirical measures of partially hyperbolic attractors