Shunji Ito ; Hiromi Ei - Tilings from some non-irreducible, Pisot substitutions

dmtcs:347 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, Vol. 7 - https://doi.org/10.46298/dmtcs.347
Tilings from some non-irreducible, Pisot substitutionsArticle

Authors: Shunji Ito 1; Hiromi Ei 2

  • 1 Department of Information and System Engineering [Tokyo]
  • 2 Department of Information and Systems Engineering [Kanazawa]

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.


Volume: Vol. 7
Published on: January 1, 2005
Imported on: March 26, 2015
Keywords: fractal,dynamical system,Substitution,Pisot number,atomic surface,tiling,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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