Determining pure discrete spectrum for some self-affine tilings
Metric Geometry
2014-10-15 v3
Abstract
By the algorithm implemented in the paper [2] by Akiyama-Lee and some of its predecessors, we have examined the pure discreteness of the spectrum for all irreducible Pisot substitutions of trace less than or equal to , and some cases of planar tilings generated by boundary substitutions due to the paper [17] by Kenyon.
Keywords
Cite
@article{arxiv.1403.0362,
title = {Determining pure discrete spectrum for some self-affine tilings},
author = {Shigeki Akiyama and Franz Gaehler and Jeong-Yup Lee},
journal= {arXiv preprint arXiv:1403.0362},
year = {2014}
}
Comments
4 figures