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arXiv:2002.01076 [math.DS]AbstractReferencesReviewsResources

Möbius disjointness for $C^{1 + \varepsilon}$ skew products

Alexandre de Faveri

Published 2020-02-04Version 1

We show that for $\varepsilon > 0$, every $C^{1 + \varepsilon}$ skew product on $\mathbb{T}^2$ over a rotation of $\mathbb{T}^1$ satisfies Sarnak's conjecture. This is an improvement of earlier results of Kulaga-Przymus-Lema\'nczyk, Huang-Wang-Ye and Kanigowski-Lema\'nczyk-Radziwill.

Comments: 16 pages
Categories: math.DS, math.NT
Subjects: 37A45, 11J70
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