Arbitrarily slow decay in the Möbius disjointness conjecture

Amir Algom, Zhiren Wang

Sarnak's Möbius disjointness conjecture asserts that for any zero entropy dynamical system $(X,T)$, $\frac{1}{N}{\sum }_{n=1}^{N}f(T^{n}x)\mu (n)=o(1)$ for every $f\in \mathcal{C}(X)$…