Mathematics > Dynamical Systems
[Submitted on 16 Mar 2018 (v1), last revised 14 Jun 2018 (this version, v2)]
Title:Mobius disjointness conjecture for local dendrite maps
View PDFAbstract: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.
Submission history
From: Habib Marzougui [view email][v1] Fri, 16 Mar 2018 12:59:39 UTC (18 KB)
[v2] Thu, 14 Jun 2018 17:07:06 UTC (18 KB)
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