Add to ORKG44 pages, 20 figuresWe work with attracting subshifts generated by substitutions which are also irreducible parageometric automorphisms of free groups. For such a dynamical system, we construct a tree substitution to approximate the repelling real tree of the automorphism. We produce images of this tree inside the Rauzy fractal when the substitution is irreducible Pisot. We describe the contour of this tree and compute an interval exchange transformation of the circle covering the original substitution
Abstract. Sturmian words are infinite words that have exactly n+ 1 factors of length n for every pos...
International audienceWe consider a substitution associated with the Arnoux-Yoccoz interval exchange...
International audienceAny infinite sequence of substitutions with the same matrix of the Pisot type ...
44 pages, 20 figuresWe work with attracting subshifts generated by substitutions which are also irre...
International audienceWe set up a geometrical theory for the study of the dynamics of reducible Piso...
In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substit...
Abstract. — Substitutions are combinatorial objects (one replaces a letter by a word) which produce ...
N°RR 05066 (2005)International audienceIn this paper, we extend to automorphisms of free groups some...
For a Pisot primitive unimodular substitution over the alphabet A with d letters, a substitution dyn...
International audienceThere has been much recent work on the geometric representation of Pisot subst...
On s'intéresse au problème de la représentation géométrique des systèmes dynamiques substitutifs dan...
We prove that the dynamical system generated by a primitive unimodular substitution of the Pisot typ...
We study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles associated wit...
Abstract. We study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles asso...
The self-similar structure of the attracting subshift of a primitive substitution is carried over to...
Abstract. Sturmian words are infinite words that have exactly n+ 1 factors of length n for every pos...
International audienceWe consider a substitution associated with the Arnoux-Yoccoz interval exchange...
International audienceAny infinite sequence of substitutions with the same matrix of the Pisot type ...
44 pages, 20 figuresWe work with attracting subshifts generated by substitutions which are also irre...
International audienceWe set up a geometrical theory for the study of the dynamics of reducible Piso...
In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substit...
Abstract. — Substitutions are combinatorial objects (one replaces a letter by a word) which produce ...
N°RR 05066 (2005)International audienceIn this paper, we extend to automorphisms of free groups some...
For a Pisot primitive unimodular substitution over the alphabet A with d letters, a substitution dyn...
International audienceThere has been much recent work on the geometric representation of Pisot subst...
On s'intéresse au problème de la représentation géométrique des systèmes dynamiques substitutifs dan...
We prove that the dynamical system generated by a primitive unimodular substitution of the Pisot typ...
We study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles associated wit...
Abstract. We study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles asso...
The self-similar structure of the attracting subshift of a primitive substitution is carried over to...
Abstract. Sturmian words are infinite words that have exactly n+ 1 factors of length n for every pos...
International audienceWe consider a substitution associated with the Arnoux-Yoccoz interval exchange...
International audienceAny infinite sequence of substitutions with the same matrix of the Pisot type ...