Statistical stability and continuity of SRB entropy for systems with Gibbs-Markov structures

Abstract

We present conditions on families of diffeomorphisms that guarantee statistical stability and SRB entropy continuity. They rely on the existence of horseshoe-like sets with infinitely many branches and variable return times. As an application we consider the family of Henon maps within the set of Benedicks-Carleson parameters.

References in corpus (2)

• Strong statistical stability of non-uniformly expanding maps
• Statistical stability of equilibrium states for interval maps

Cited by in corpus (2)

• Consistency of maximum likelihood estimation for some dynamical systems
• Statistical instability for contracting Lorenz flows