Möbius disjointness conjecture for local dendrite maps

DOI10.1088/1361-6544/aae942zbMath1406.37036arXiv1803.06201OpenAlexW2792282437WikidataQ123298990 ScholiaQ123298990MaRDI QIDQ4644687

Habib Marzougui, Ghassen Askri, El Houcein El Abdalaoui

Publication date: 8 January 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06201

zbMATH Keywords

Möbius functiongraph\(\omega\)-limit setdendriteminimal setlocal dendriteSarnak conjectureMöbius disjointness conjecture

Mathematics Subject Classification ID

Topological entropy (37B40) Continua theory in dynamics (37B45) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Low-dimensional dynamical systems (37E99) Dynamical systems involving maps of trees and graphs (37E25)

Related Items

Quasi-graphs, zero entropy and measures with discrete spectrum, Dendrites and measures with discrete spectrum, Chowla and Sarnak conjectures for Kloosterman sums, A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled, Group actions on treelike compact spaces, The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite, Möbius orthogonality for \(q\)-semimultiplicative sequences

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