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

作     者：Yuke HUANG Zhiying WEN 黄煜可;文志英

作者机构：School of ScienceBeijing University of Posts and TelecommunicationsBeijing100876China Department of Mathematical SciencesTsinghua UniversityBeijing100084China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2021年第41卷第6期

页      面：1921-1937页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(11701024) the Fundamental Research Funds for the Central Universities(2019RC17) 

主　　题：combinatorics on words envelope word derived sequence factor spectrum reflexivity of derived sequence 

摘      要：Factor properties and their structures are important themes in combinatorics on *** D be the infinite one-sided sequence over the alphabet{a,b}generated by the period-doubling substitutionσ(a)=ab andσ(b)=*** this paper,we determine the derived sequence D_(ω)(D)for any factorω■D,and study some factor spectra using the structures of derived *** also prove the reflexivity property of derived sequences.