Möbius disjointness for skew products on the Heisenberg nilmanifold

DOI10.1090/proc/14259zbMath1442.37009arXiv1707.07748OpenAlexW2962868385MaRDI QIDQ4630655

Zhiren Wang, Matthew Litman

Publication date: 23 April 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07748

zbMATH Keywords

Möbius functionSarnak's conjecturezero-entropy topological dynamical system

Mathematics Subject Classification ID

Topological entropy (37B40) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Relations between ergodic theory and number theory (37A44)

Related Items (2)

Möbius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold ⋮ Möbius disjointness for skew products on a circle and a nilmanifold

Cites Work

• The quantitative behaviour of polynomial orbits on nilmanifolds
• The Möbius function is strongly orthogonal to nilsequences
• The Möbius function and continuous extensions of rotations
• An averaged form of Chowla's conjecture
• A remark on a theorem of H. Daboussi
• Proximal-isometric (\(\mathcal P\mathfrak F\)) flows
• Sarnak's conjecture: what's new
• The logarithmic Sarnak conjecture for ergodic weights
• The Möbius function and distal flows
• Möbius disjointness for analytic skew products
• Topological dynamics
• Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures
• Ergodicity of the Liouville system implies the Chowla conjecture
• Disjointness of Moebius from Horocycle Flows
• Approximate orthogonality of powers for ergodic affine unipotent diffeomorphisms on nilmanifolds
• Strict Ergodicity and Transformation of the Torus
• The Structure of Distal Flows

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