Möbius disjointness for skew products on a circle and a nilmanifold

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چکیده

Let \begin{document}$ \mathbb{T} $\end{document} be the unit circle and \Gamma \backslash G 3 -dimensional Heisenberg nilmanifold. We prove that a class of skew products on \times are distal, Mobius function is linearly disjoint from these products. This verifies Disjointness Conjecture Sarnak.

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems

سال: 2021

ISSN: ['1553-5231', '1078-0947']

DOI: https://doi.org/10.3934/dcds.2021006