DERIVED SEQUENCES AND THE FACTOR SPECTRUM OF THE PERIOD-DOUBLING SEQUENCE

被引：0

作者：

黄煜可 ^{[1
]}

文志英 ^{[2
]}

机构：

[1] School of Science, Beijing University of Posts and Telecommunications

[2] Department of Mathematical Sciences, Tsinghua University

来源：

ActaMathematicaScientia | 2021年 / 41卷 / 06期

基金：

中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;

关键词：

D O I：

暂无

中图分类号：

O157 [组合数学（组合学）];

学科分类号：

070104 ;

摘要：

Factor properties and their structures are important themes in combinatorics on words. Let D be the infinite one-sided sequence over the alphabet {a, b} generated by the period-doubling substitution σ(a) = ab and σ(b) = aa. In this paper, we determine the derived sequence D(D) for any factor ω■D, and study some factor spectra using the structures of derived sequences. We also prove the reflexivity property of derived sequences.

引用

页码：1921 / 1937

页数：17

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