Sarnak's Möbius disjointness conjecture holds for Furstenberg's flow on the infinite torus in intervals of length between N^{5/8+ε} and N.
Auslander,Minimal flows and their extensions, North-Holland Mathematics Studies 153, North- Holland Publishing Co
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M\"obius disjointness conjecture for Furstenberg's flow on $\mathbb{T}^\omega$ in short intervals
Sarnak's Möbius disjointness conjecture holds for Furstenberg's flow on the infinite torus in intervals of length between N^{5/8+ε} and N.