Local symmetries in the period-doubling sequence

被引：26
作者：
Damanik, D [1 ]
机构：
[1] Univ Frankfurt, Fachbereich Math, D-60054 Frankfurt, Germany
来源：
DISCRETE APPLIED MATHEMATICS | 2000年 / 100卷 / 1-2期
关键词：
local symmetries; period-doubling sequence; combinatorics on words;
D O I：
10.1016/S0166-218X(99)00199-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the infinite one-sided sequence generated by the period-doubling substitution. The number p(n) of palindromes of length n and the number b(k)(n) of kth powers of words of length n occurring in this sequence are computed explicitly. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：115 / 121
页数：7
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