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

• el Houcein el Abdalaoui ^[1] ; Joseph Devianne ^[1]
  1. [1] University of Rouen Normandy
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 2, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-023-00941-6
• Enlaces
  • Texto completo
• Resumen

  • 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 SmitalRuelle property can be extended to the class of dendrites with closed and countable endpoints. Our proof use only Dirichlet theorem.

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