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

页码：2263 / 2285

页数：23

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