On embedding of repetitive Meyer multiple sets into model multiple sets

被引：4

作者：

Aujogue, Jean-Baptiste ^{[1
,2
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, CNRS, UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France

[2] Univ Santiago Chile, Dept Matemat, Fac Ciencia, Aladema 3363,Estn Cent, Santiago, Chile

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2016年 / 36卷

关键词：

PURE POINT DIFFRACTION; DYNAMICAL-SYSTEMS; ENVELOPING SEMIGROUPS; TOEPLITZ FLOWS;

D O I：

10.1017/etds.2014.133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Model sets are always Meyer sets but the converse is generally not true. In this work we show that for a repetitive Meyer multiple set of R-d with associated dynamical system. (X, R-d), the property of being a model multiple set is equivalent to (X, R-d) being almost automorphic. We deduce this by showing that a repetitive Meyer multiple set can always be embedded into a repetitive model multiple set having a smaller group of topological eigenvalues.

引用

页码：1679 / 1702

页数：24

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