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arxiv: 1707.07748 · v1 · pith:YZWDAPWWnew · submitted 2017-07-24 · 🧮 math.DS · math.NT

M\"obius Disjointness for Skew Products on the Heisenberg Nilmanifold

classification 🧮 math.DS math.NT
keywords dimensionalheisenbergnilmanifoldobiusskewcontinuousdisjointdisjointness
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We prove that the M\"obius function is disjoint to all Lipschitz continuous skew product dynamical systems on the 3-dimensional Heisenberg nilmanifold over a minimal rotation of the 2-dimensional torus.

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