Averaged shelling for quasicrystals

[摘要] 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. (C) 2000 Michael Baake. Published by Elsevier Science B.V. All rights reserved.

[发布日期] 2000-12-15

[效力级别]  Proceedings Paper

[关键词] crystals;quasicrystals;random tilings;shelling;radial autocorrelation;number theory