EL Houcein EL Abdalaoui

Mobius disjointness conjecture for local dendrite maps

We prove that the Möbius 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 Möbius disjointness holds.