A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled
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 \cite{ela-GH}. We further notice that the Smital-Ruelle property can be extended to the class of dendrites with closed and countable endpoints.
math.DS↗