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