Möbius disjointness conjecture for Furstenberg's flow on ${\mathbb{T}}^{\omega }$ in short intervals

Shuyang He, Qingyang Liu, Jing Ma

Furstenberg's flow on the infinite-dimensional torus ${\mathbb{T}}^{\omega }$ is defined by \[ T (x_1, x_2, \ldots, x_ν, \ldots) = (x_1 + α, x_2 + h(x_1), \ldots, x_ν+ h(x_1 + (ν-2)β), \ldot…