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.
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页码：1921 / 1937
页数：17
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