On Moebius orthogonality for subshifts of finite type with positive topological entropy

Davit Karagulyan

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arXiv · 1701.01968

On Moebius orthogonality for subshifts of finite type with positive topological entropy

Davit Karagulyan

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Abstract

In this note we prove that Moebius orthogonality does not hold for subshifts of finite type with positive topological entropy. This, in particular, shows that all $C^{1+\alpha}$ surface diffeomorphisms with positive entropy correlate with the Moebius function.

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Davit Karagulyan. 2017-01-08. On Moebius orthogonality for subshifts of finite type with positive topological entropy. https://arxiv.org/abs/1701.01968

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