Möbius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold

DOI10.1016/j.jnt.2023.10.005arXiv2205.04244OpenAlexW4388968828MaRDI QIDQ6187127

Jing Ma, Ronghui Wu

Publication date: 10 January 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04244

zbMATH Keywords

distal flowskew productHeisenberg nilmanifoldmeasure complexityMöbius disjointness conjecture

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Ergodic theorems, spectral theory, Markov operators (37A30) Topological entropy (37B40) Trigonometric and exponential sums (general theory) (11L03) Relations between ergodic theory and number theory (37A44)

Cites Work

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• Disjointness of Moebius from Horocycle Flows
• Rigidity in dynamics and M
• Strict Ergodicity and Transformation of the Torus
• The Structure of Distal Flows
• Möbius Disjointness for Skew Products
• A NOTE ON MÖBIUS DISJOINTNESS FOR SKEW PRODUCTS ON A CIRCLE AND A NILMANIFOLD

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