Substitutions and Möbius disjointness

Abstract

We show that Sarnak's conjecture on Möbius disjointness holds for all subshifts given by bijective substitutions and some other similar dynamical systems, e.g.\ those generated by Rudin-Shapiro type sequences.

26 pages

Cited by in corpus (2)

• Möbius disjointness for topological models of ergodic systems with discrete spectrum
• Möbius Disjointness for Skew Products on the Heisenberg Nilmanifold