Decay of correlations for maximal measure of maps derived from Anosov

Published 3 Oct 2016 in math.DS | (1610.00796v2)

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 H\"older observables, assuming the middle eigenvalue of the linear Anosov model is contracting.

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