Decay of correlations for maximal measure of maps derived from Anosov

Abstract

It was proven by Ures that $C^1$ diffeomorphism on three dimensional torus that is derived from Anosov admits a unique maximal measure. Here we show that the maximal measure has exponential decay of correlations for Hölder observables, assuming the middle eigenvalue of the linear Anosov model is contracting.

Cited by in corpus (2)

• Maximal entropy measures of diffeomorphisms of circle fiber bundles
• Lyapunov exponents and rigidity of Anosov automorphisms and skew products