Univoque graphs for non-integer base expansions

被引：0
|
作者：
Yuru Zou
Jiachang Li
Jian Lu
Vilmos Komornik
机构：
[1] Shenzhen University,College of Mathematics and Statistics
[2] Université de Strasbourg,Département de Mathématique
来源：
Science China Mathematics | 2021年 / 64卷
关键词：
expansions in non-integer bases; univoque graph; topological dynamics; 11A63; 37B10; 11K55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Unique expansions in non-integer bases have been investigated in many papers during the last thirty years. They are often conveniently generated by labeled directed graphs. We give a precise description of the set of sequences generated by these graphs. This provides a geometric explanation of many former abstract results in this domain. Our results are illustrated by many examples.
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页码：2667 / 2702
页数：35
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