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arXiv · 2002.01076

M\"obius disjointness for $C^{1 + \varepsilon}$ skew products

Alexandre de Faveri
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Abstract

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.

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Alexandre de Faveri. 2020-02-04. M\"obius disjointness for $C^{1 + \varepsilon}$ skew products. https://doi.org/10.1093/imrn%2Frnaa185

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