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