Tilings from some non-irreducible, Pisot substitutions - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Discrete Mathematics and Theoretical Computer Science Année : 2005

Tilings from some non-irreducible, Pisot substitutions

Résumé

A generating method of self-affine tilings for Pisot, unimodular, irreducible substitutions, as well as the fact that the associated substitution dynamical systems are isomorphic to rotations on the torus are established in P. Arnoux and S. Ito. The aim of this paper is to extend these facts in the case where the characteristic polynomial of a substitution is non-irreducible for a special class of substitutions on five letters. Finally we show that the substitution dynamical systems for this class are isomorphic to induced transformations of rotations on the torus.
Fichier principal
Vignette du fichier
dm070108.pdf (432.28 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00959033 , version 1 (13-03-2014)

Identifiants

Citer

Shunji Ito, Hiromi Ei. Tilings from some non-irreducible, Pisot substitutions. Discrete Mathematics and Theoretical Computer Science, 2005, Vol. 7, pp.81-122. ⟨10.46298/dmtcs.347⟩. ⟨hal-00959033⟩

Collections

TDS-MACS
65 Consultations
749 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More