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arXiv · 1803.06201

Mobius disjointness conjecture for local dendrite maps

EL Houcein EL Abdalaoui·Ghassen Askri·Habib Marzougui
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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.

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EL Houcein EL Abdalaoui, Ghassen Askri, Habib Marzougui. 2018-03-16. Mobius disjointness conjecture for local dendrite maps. https://doi.org/10.1088/1361-6544/aae942

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