Mobius disjointness conjecture for local dendrite maps

Mobius disjointness conjecture for local dendrite maps

We prove that the M\"obius disjointness conjecture holds for graph maps and for all monotone local dendrite maps. We further show that this also hold for continuous map on certain class of dendrites. Moreover, we see that there is a transitive dendrite map with zero entropy for which M\"ob...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2018-06
Hauptverfasser: EL Houcein EL Abdalaoui, Askri, Ghassen, Marzougui, Habib
Format: Artikel
Sprache:eng
Schlagworte:
Dendritic structure
Mathematics - Dynamical Systems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove that the M\"obius disjointness conjecture holds for graph maps and for all monotone local dendrite maps. We further show that this also hold for continuous map on certain class of dendrites. Moreover, we see that there is a transitive dendrite map with zero entropy for which M\"obius disjointness holds.
ISSN:2331-8422
DOI:10.48550/arxiv.1803.06201