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pro vyhledávání: '"Sellami, Tarek"'
Autor:
Sellami, Tarek
On sait que la matrice d'incidence associée à une substitution ne suffit pas pour déterminer complètement le système dynamique associé, même dans des cas très simples, il existe plusieurs substitutions associées à une même matrice car il e
Externí odkaz:
http://www.theses.fr/2012AIXM4030/document
Publikováno v:
AIMS Mathematics; 2024, Vol. 9 Issue 9, p25098-25113, 16p
In this paper, we study cut sets of attractors of iteration function systems (IFS) in $\mathbb{R}^d$. Under natural conditions, we show that all irreducible cut sets of these attractors are perfect sets or single points. This leads to a criterion for
Externí odkaz:
http://arxiv.org/abs/1412.1975
Autor:
Sellami, Tarek, Sirvent, Víctor F.
In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible Pisot substitution, we consider the intersection of
Externí odkaz:
http://arxiv.org/abs/1410.6229
Any infinite sequence of substitutions with the same matrix of the Pisot type defines a symbolic dynamical system which is minimal. We prove that, to any such sequence, we can associate a compact set (Rauzy fractal) by projection of the stepped line
Externí odkaz:
http://arxiv.org/abs/1301.7316
Autor:
Sellami, Tarek
The matrix of a substitution is not sufficient to completely determine the dynamics associated, even in simplest cases since there are many words with the same abelianization. In this paper we study the common points of the canonical broken lines ass
Externí odkaz:
http://arxiv.org/abs/1002.3559
Publikováno v:
Proceedings of the American Mathematical Society, 2016 Oct 01. 144(10), 4341-4356.
Externí odkaz:
https://www.jstor.org/stable/procamermathsoci.144.10.4341
Publikováno v:
In Theoretical Computer Science 10 July 2014 543:68-78
Autor:
Ammar, Hamdi, Sellami, Tarek
Publikováno v:
Indian Journal of Pure & Applied Mathematics; Sep2023, Vol. 54 Issue 3, p816-823, 8p
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