7 citations · 7 across the 4 of their papers we have counts for
4 papers
On cut sets of attractors of iterated function systems
Benoît Loridant, Jun Luo, Tarek Sellami +1
In this paper, we study cut sets of attractors of iteration function systems (IFS) in . Under natural conditions, we show that all irreducible cut sets of these attra…
Symmetric intersections of Rauzy fractals
Tarek Sellami, Víctor F. Sirvent
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 unimo…
Random product of substitutions with the same incidence matrix
Pierre Arnoux, Masahiro Mizutani, Tarek Sellami
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 asso…
Common dynamics of two Pisot substitutions with the same incidence matrix
Tarek Sellami
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 t…