Averaged shelling for quasicrystals
Metric Geometry
2007-05-23 v3 Condensed Matter
Abstract
The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrystals, the so-called central shelling, leads to non-universal answers. As one way to cope with this situation, we consider shelling averages over all quasicrystal points. We express the averaged shelling numbers in terms of the autocorrelation coefficients and give explicit results for the usual suspects, both perfect and random.
Cite
@article{arxiv.math/9907156,
title = {Averaged shelling for quasicrystals},
author = {Michael Baake and Uwe Grimm and Dieter Joseph and Przemyslaw Repetowicz},
journal= {arXiv preprint arXiv:math/9907156},
year = {2007}
}
Comments
4 pages, several figures, 2 tables; updated version with minor corrections and improvements; to appear in the proceedings of ICQ7