BOUNDED REMAINDER SETS FOR ROTATIONS ON THE ADELIC TORUS

被引：2

作者：

Furno, Joanna ^{[1
]}

Haynes, Alan ^{[1
]}

Koivusalo, Henna ^{[2
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 12期

关键词：

Bounded remainder sets; adeles; rotations on compact groups;

D O I：

10.1090/proc/14636

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give an explicit construction of bounded remainder sets of all possible volumes for any irrational rotation on the adelic torus A/Q. Our construction involves ideas from dynamical systems and harmonic analysis on the adeles, as well as a geometric argument which originated in the study of deformation properties of mathematical quasicrystals.

引用

页码：5105 / 5115

页数：11

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