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arxiv: 1610.00796 · v2 · pith:LNGWLGNKnew · submitted 2016-10-03 · 🧮 math.DS

Decay of correlations for maximal measure of maps derived from Anosov

classification 🧮 math.DS
keywords anosovmaximalmeasurecorrelationsdecayderivedadmitsassuming
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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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