A Large Class of Dendrite Maps for Which Möbius Disjointness Property of Sarnak is Fulfilled

A Large Class of Dendrite Maps for Which Möbius Disjointness Property of Sarnak is Fulfilled

We give a simple proof that any dendrite map for which the set of endpoints is closed and countable fulfilled Sarnak Möbius disjointness. We further notice that the Smital-Ruelle property can be extended to the class of dendrites with closed and countable endpoints. Our proof use only Dirichlet theo...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Qualitative theory of dynamical systems 2024-04, Vol.23 (2), Article 83
Hauptverfasser: el Abdalaoui, el Houcein, Devianne, Joseph
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Dirichlet problem
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We give a simple proof that any dendrite map for which the set of endpoints is closed and countable fulfilled Sarnak Möbius disjointness. We further notice that the Smital-Ruelle property can be extended to the class of dendrites with closed and countable endpoints. Our proof use only Dirichlet theorem.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00941-6