Möbius disjointness along ergodic sequences for uniquely ergodic actions

Joanna Kułaga-Przymus, Mariusz Lemańczyk

We show that there are an irrational rotation $Tx=x+\alpha$ on the circle $\mathbb{T}$ and a continuous $\phi :\mathbb{T}\to \mathbb{R}$ such that for each (continuous) uniquely ergodic…