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

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.

References in corpus (1)

• On spectral disjointness of powers for rank-one transformations and Möbius orthogonality