1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.DS2020★ 1 cited
A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled
el Houcein el Abdalaoui, Joseph Devianne
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 Marzoug…
math.DS2018
Mobius disjointness conjecture for local dendrite maps
EL Houcein EL Abdalaoui, Ghassen Askri, Habib Marzougui
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 cl…