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arXiv · 2111.04251

Quantitative almost reducibility and M\"obius disjointness for analytic quasiperiodic Schrodinger cocycles

Wen Huang·Jing Wang·Zhiren Wang·Qi Zhou
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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 \cite{LS15,W17} to the noncommutative case. The proof relies on quantitative version of almost reducibility.

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Wen Huang, Jing Wang, Zhiren Wang, Qi Zhou. 2021-11-08. Quantitative almost reducibility and M\"obius disjointness for analytic quasiperiodic Schrodinger cocycles. https://arxiv.org/abs/2111.04251

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