Möbius disjointness for topological models of ergodic systems with discrete spectrum

DOI10.3934/jmd.2019010zbMath1442.37017arXiv1608.08289OpenAlexW2963552264MaRDI QIDQ2000077

Wen Huang, Zhiren Wang, Guohua Zhang

Publication date: 27 June 2019

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08289

zbMATH Keywords

topological dynamicsdiscrete spectrumMöbius disjointnesstopological modelzero topological entropy

Mathematics Subject Classification ID

Topological entropy (37B40) Relations between ergodic theory and number theory (37A44)

Related Items (9)

Quasi-graphs, zero entropy and measures with discrete spectrum ⋮ On arithmetic functions orthogonal to deterministic sequences ⋮ Constant length substitutions, iterated function systems and amorphic complexity ⋮ Furstenberg disjointness, Ratner properties, and Sarnak's conjecture ⋮ A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled ⋮ Möbius disjointness for topological models of ergodic measure-preserving systems with quasi-discrete spectrum ⋮ Mean equicontinuity, complexity and applications ⋮ Möbius disjointness for skew products on a circle and a nilmanifold ⋮ Rigidity in dynamics and M

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