Inter-model sets in Rd are model sets

被引：0

作者：

Richard, Christoph ^{[1
]}

Strungaru, Nicolae ^{[2
,3
]}

机构：

[1] Friedrich Alexander Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany

[2] MacEwan Univ, Dept Math Sci, 10700-104 Ave, Edmonton, AB T5J 4S2, Canada

[3] Inst Math Simon Stoilow, Bucharest, Romania

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2024年 / 35卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Model sets; Substitution point sets; Torus parametrisation; DYNAMICAL-SYSTEMS; POINT SPECTRUM;

D O I：

10.1016/j.indag.2023.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any union of finitely many shifted model sets from a given cut-and-project scheme is a model set in some modified cut-and-project scheme. Restricting to direct space R-d, we show that any inter-model set is a model set in some modified cut-and-project scheme with second countable internal space. In both cases, the window in the modified cut-and-project scheme inherits the topological and measure-theoretic properties of the original windows. (c) 2023 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：865 / 889

页数：25

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