Tilings from some non-irreducible, Pisot substitutions

Tilings from some non-irreducible, Pisot substitutions

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 i...

Full description

Bibliographic Details
Main Authors: Shunji Ito, Hiromi Ei
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2005-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/64
id doaj-7ec4a6285f994634a418af870bd8057e
record_format Article
spelling doaj-7ec4a6285f994634a418af870bd8057e2020-11-24T20:48:55ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1462-72641365-80502005-12-0171Tilings from some non-irreducible, Pisot substitutionsShunji ItoHiromi EiA 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. http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/64
collection DOAJ
language English
format Article
sources DOAJ
author Shunji Ito
Hiromi Ei
spellingShingle Shunji Ito
Hiromi Ei
Tilings from some non-irreducible, Pisot substitutions
Discrete Mathematics & Theoretical Computer Science
author_facet Shunji Ito
Hiromi Ei
author_sort Shunji Ito
title Tilings from some non-irreducible, Pisot substitutions
title_short Tilings from some non-irreducible, Pisot substitutions
title_full Tilings from some non-irreducible, Pisot substitutions
title_fullStr Tilings from some non-irreducible, Pisot substitutions
title_full_unstemmed Tilings from some non-irreducible, Pisot substitutions
title_sort tilings from some non-irreducible, pisot substitutions
publisher Discrete Mathematics & Theoretical Computer Science
series Discrete Mathematics & Theoretical Computer Science
issn 1462-7264
1365-8050
publishDate 2005-12-01
description 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.
url http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/64
work_keys_str_mv AT shunjiito tilingsfromsomenonirreduciblepisotsubstitutions
AT hiromiei tilingsfromsomenonirreduciblepisotsubstitutions
_version_ 1716807433451470848

Similar Items