Complexity and special factors

被引:129
作者
Cassaigne, J
机构
关键词
subword complexity; special factors; substitutive sequences;
D O I
10.36045/bbms/1105730624
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Among the factors of an infinite sequence on a finite alphabet, some elements have a particular importance: special and bispecial factors. We show how they can be used to compute the complexity of sequences, i.e. the number of factors with a-given length, and to prove that certain functions are obtainable as sequence complexity whereas other functions are not.
引用
收藏
页码:67 / 88
页数:22
相关论文
共 14 条
[1]  
Allouche J.-P., 1994, B BELG MATH SOC, V1, P133
[2]  
ALLOUCHE JP, 1993, JOURNEES MONTOISES B
[3]  
ARNOUX P, 1991, B SOC MATH FRANCE, V199, P199
[4]   ENUMERATION OF FACTORS IN THE THUE-MORSE WORD [J].
BRLEK, S .
DISCRETE APPLIED MATHEMATICS, 1989, 24 (1-3) :83-96
[5]  
CASSAIGNE J, 1996, DEV LANGUAGE THEORY
[6]  
Cassaigne J., 1994, THESIS PARIS 6
[7]  
CASSAIGNE J, 1993, LECT NOTES COMPUT SC, V665, P216
[8]   CONSTRUCTIONS OF STRICTLY ERGODIC SYSTEMS .1. GIVEN ENTROPY [J].
GRILLENBERGER, C .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1973, 25 (04) :323-334
[9]  
MIGNOSI F, 1993, LECT NOTES COMPUT SC, V700
[10]  
MOSSE B, 1993, IN PRESS NOTIONS REC