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

Published 8 Jan 2017 in math.DS | (1701.01968v1)

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

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