On Möbius orthogonality for subshifts of finite type with positive topological entropy
Volume 237 / 2017
Studia Mathematica 237 (2017), 277-282
MSC: Primary 37B10; Secondary 37A35, 11Y35.
DOI: 10.4064/sm8661-10-2016
Published online: 3 March 2017
Abstract
We prove that Möbius 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 Möbius function.
