Discrete Mathematics & Theoretical Computer Science, Vol 7 (2005)

Font Size:  Small  Medium  Large
DMTCS vol 7 no 1 (2005), pp. 81-122

Discrete Mathematics & Theoretical Computer Science


Volume 7 n° 1 (2005), pp. 81-122

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.

If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files.

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.
ps.gz-source:dm070108.ps.gz (319 K)
ps-source:dm070108.ps (3150 K)
pdf-source:dm070108.pdf (520 K)

The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.

Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.

Automatically produced on Mon May 23 22:38:52 CEST 2005 by falk