Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Naghmouchi, Issam"'
Autor:
Daghar, Aymen, Naghmouchi, Issam
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 $X\setminus \Omega(f)$ is not empty. If furthermore $X$ is a regular curve then it is shown th
Externí odkaz:
http://arxiv.org/abs/2109.04246
It is shown that the restriction of the action of any group with finite orbit on the minimal sets of dendrites is equicontinuous. Consequently, we obtain that the action of any amenable group and Thompson group on dendrite restricted on minimal sets
Externí odkaz:
http://arxiv.org/abs/1903.02372
Autor:
Naghmouchi, Issam
In this paper, we prove first that the space of minimal sets of any homeomorphisms $f:X\to X$ of a regular curve $X$ is closed in the hyperspace $2^X$ of closed subsets of $X$ endowed with the Hausdorff metric, and the non-wandering set $\Omega (f)$
Externí odkaz:
http://arxiv.org/abs/1807.00222
Autor:
Marzougui, Habib, Naghmouchi, Issam
Publikováno v:
Math. Z. (2018)
We consider a group $G$ acting on a local dendrite $X$ (in particular on a graph). We give a full characterization of minimal sets of $G$ by showing that any minimal set $M$ of $G$ (whenever $X$ is different from a dendrite) is either a finite orbit,
Externí odkaz:
http://arxiv.org/abs/1803.03810
Autor:
Daghar, Aymen, Naghmouchi, Issam ⁎
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena April 2022 157
Publikováno v:
In Topology and its Applications 1 January 2022 305
Autor:
Abouda, Haithem, Naghmouchi, Issam
A continuum $X$ is a dendrite if it is locally connected and contains no simple closed curve, a self mapping $f$ of $X$ is called monotone if the preimage of any connected subset of $X$ is connected. If $X$ is a dendrite and $f:X\to X$ is a monotone
Externí odkaz:
http://arxiv.org/abs/1507.06532
Autor:
Marzougui, Habib, Naghmouchi, Issam
Publikováno v:
Houston J. Math. 43 (2017), no. 4, 1291--1303
An w-limit set of a continuous self-mapping of a compact metric space X is said to be totally periodic if all of its points are periodic. We say that X has the w-FTP property provided that for each continuous self-mapping f of X, every totally period
Externí odkaz:
http://arxiv.org/abs/1406.4401
Publikováno v:
Ergodic Theory Dyn. Syst. (2017), 37, 2017-2033
We study relations between transitivity, mixing and periodic points on dendrites. We prove that when there is a point with dense orbit which is not an endpoint, then periodic points are dense and there is a terminal periodic decomposition (we provide
Externí odkaz:
http://arxiv.org/abs/1312.7426
Autor:
Naghmouchi, Issam
Let D be a dendrite and f:D-> D a continuous map. Denote by E(D) and B(D) the sets of endpoints and branch points of D respectively. We show that if E(D) is countable (resp. B(D) is discrete) then f is pointwise-recurrent if and only if f is pointwis
Externí odkaz:
http://arxiv.org/abs/1108.2787