Discrete Mathematics & Theoretical Computer Science
| author: | Shunji Ito and Hiromi Ei |
|---|---|
| title: | Tilings from some non-irreducible, Pisot substitutions |
| keywords: | Substitution, Pisot number, atomic surface, tiling, fractal, dynamical system |
| abstract: | 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.
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| reference: | Shunji Ito and Hiromi Ei (2005), Tilings from some non-irreducible, Pisot substitutions, Discrete Mathematics and Theoretical Computer Science 7, pp. 81-122 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| pdf-source: | dm070108.pdf (520 K) |
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