Quantitative almost reducibility and Möbius disjointness for analytic quasiperiodic Schrodinger cocycles
arXiv:2111.04251
Abstract
Sarnak's Möbius disjointness conjecture states that Möbius function is disjoint to any zero entropy dynamics. We prove that Möbius disjointness conjecture holds for one-frequency analytic quasi-periodic cocycles which are almost reducible, which extend \cite{LS15,W17} to the noncommutative case. The proof relies on quantitative version of almost reducibility.
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