Quasicrystals: algebraic, combinatorial and geometrical aspects
Mathematical Physics
2007-05-23 v1 Combinatorics
math.MP
Abstract
The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal models and then focus on the one-dimensional ones. For the description of their properties we use the methods of combinatorics on words.
Keywords
Cite
@article{arxiv.math-ph/0603065,
title = {Quasicrystals: algebraic, combinatorial and geometrical aspects},
author = {Edita Pelantová and Zuzana Masáková},
journal= {arXiv preprint arXiv:math-ph/0603065},
year = {2007}
}
Comments
19 pages, 3 postscript figures, contribution to the Proceedings of NATO School "Physics and Computer Science", Cargese 2005