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arXiv · 1610.00796

Decay of correlations for maximal measure of maps derived from Anosov

Fan Yang·Jiagang Yang
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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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Fan Yang, Jiagang Yang. 2016-10-03. Decay of correlations for maximal measure of maps derived from Anosov. https://arxiv.org/abs/1610.00796

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