Möbius disjointness for analytic skew products

Abstract

We show that the Möbius function is disjoint to every analytic skew product dynamical system on the two-torus over a rotation of the circle.

19 pages

References in corpus (2)

• An averaged form of Chowla's conjecture
• Möbius disjointness for homogeneous dynamics

Cited by in corpus (3)

• Möbius disjointness for topological models of ergodic systems with discrete spectrum
• Measure complexity and Möbius disjointness
• Higher Order Oscillating Sequences, Affine Distal Flows on the $d$-Torus, and Sarnak's Conjecture