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arXiv · 1907.01735

Möbius disjointness for skew products on a circle and a nilmanifold

Wen Huang·Jianya Liu·Ke Wang
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Abstract

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

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Wen Huang, Jianya Liu, Ke Wang. 2019-07-03. Möbius disjointness for skew products on a circle and a nilmanifold. https://arxiv.org/abs/1907.01735

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