Mobius disjointness conjecture for local dendrite maps
Dynamical Systems
2019-01-15 v2
Abstract
We prove that the M\"obius 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 M\"obius disjointness holds.
Keywords
Cite
@article{arxiv.1803.06201,
title = {Mobius disjointness conjecture for local dendrite maps},
author = {EL Houcein EL Abdalaoui and Ghassen Askri and Habib Marzougui},
journal= {arXiv preprint arXiv:1803.06201},
year = {2019}
}
Comments
18 pages