Ghassen Askri

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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…

math.DS2015

Li-Yorke chaos for dendrite maps with zero topological entropy and $ω$ -limit sets

Ghassen Askri

Let $X$ be a dendrite with set of endpoints $E (X)$ closed and let $f : X \to X$ be a continuous map with zero topological entropy. Let $P (f)$ be the set of periodic points of $f$ . W…

Mobius disjointness conjecture for local dendrite maps

Li-Yorke chaos for dendrite maps with zero topological entropy and ω-limit sets

Li-Yorke chaos for dendrite maps with zero topological entropy and $ω$ -limit sets