Substitution Delone sets with pure point spectrum are inter-model sets

被引：19
|
作者：
Lee, Jeong-Yup [1 ]
机构：
[1] KIAS, Seoul 130722, South Korea
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 11期
基金：
加拿大自然科学与工程研究理事会;
关键词：
pure point spectrum; quasicrystal; model set; substitution; coincidence;
D O I：
10.1016/j.geomphys.2007.07.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper establishes an equivalence between pure point diffraction and certain types of model sets, called inter-model sets, in the context of substitution point sets and substitution tilings. The key ingredients are a new type of coincidence condition in substitution point sets, which we call algebraic coincidence, and the use of a recent characterization of model sets through dynamical systems associated with the point sets or tilings. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2263 / 2285
页数：23
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