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;
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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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