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.
Rudin,Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, In- terscience Publishers, New York-London
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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.