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Quantitative almost reducibility and M\"obius disjointness for analytic quasiperiodic Schrodinger cocycles by Huang, Wen; Wang, Jing; Wang, Zhiren; Zhou, Qi is a scholarly article available to read on EtoBox.

What is Quantitative almost reducibility and M\"obius disjointness for analytic quasiperiodic Schrodinger cocycles about?

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.

Author

Huang, Wen; Wang, Jing; Wang, Zhiren; Zhou, Qi

Published

2021

Language

EN