Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies

被引:29
作者
Baake, Michael
Lenz, Daniel
Richard, Christoph
机构
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
关键词
Delone sets; entropy; model sets; substitutions;
D O I
10.1007/s11005-007-0186-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Delone sets of finite local complexity in Euclidean space are investigated. We show that such a set has patch counting and topological entropy zero if it has uniform cluster frequencies and is pure point diffractive. We also note that the patch counting entropy vanishes whenever the repetitivity function satisfies a certain growth restriction.
引用
收藏
页码:61 / 77
页数:17
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