A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled

2020/12/24 by Abdalaoui, el Houcein el, Devianne, Joseph
#11N64 #37B05 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2012.14354

Abstract

We prove that any dendrite map for which the set of endpoints is closed and countable fulfilled Sarnak Möbius disjointness. This extended a result by el Abdalaoui-Askri and Marzougui \citeela-GH. We further notice that the Smital-Ruelle property can be extended to the class of dendrites with closed and countable endpoints.

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