Aymen Daghar

activity

20212024

most citedEntropy of induced maps of regular curves homeomorphisms

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.DS2024

Maximal equicontinuous factor and minimal map on finitely suslinean continua

Aymen Daghar

In this paper, we introduce the notion of negatively regionally proximal pairs of onto maps which coincides with the set of regionally proximal pair of $f^{- 1}$ , whenever $f$ is an…

math.DS2022

Topological sequence entropy and topological dynamics of tree maps

Aymen Daghar, Jose S. Canovas

We prove that a zero topological entropy continuous tree map always displays zero topological sequence entropy when it is restricted to its non-wandering and chain recurrent sets.…

math.DS2021★ 1 cited

Entropy of induced maps of regular curves homeomorphisms

Aymen Daghar, Issam Naghmouchi

Let $f : X \to X$ be a self homeomorphism of a continuum $X$ , we show that the topological entropy of the induced system $(2^{X}, 2^{f})$ is infinite provided that $X ∖ Ω (f)$ is not…

math.DS2021

Nonwandering sets and special $α$ -limit sets of monotone maps on regular curves

Aymen Daghar, Habib Marzougui

Let $X$ be a regular curve and let $f : X \to X$ be a monotone map. In this paper, nonwandering set of $f$ and the structure of special $α$ -limit sets for $f$ are investigated. We sh…