Paperfolding, generalized Rudin-Shapiro sequences, and the Thue-Morse sequence

被引：0
|
作者：
Rodenhausen, A
机构：
来源：
FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE | 1995年 / 3卷 / 04期
关键词：
D O I：
10.1142/S0218348X95000606
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that a family of generalized Rudin-Shapiro sequences can be derived from paperfolding sequences. We will show that the component wise sum modulo 2 of a generalized Rudin-Shapiro sequence with the well known Thue-Morse sequence again is a generalized Rudin-Shapiro sequence of the same family. Moreover, it is proved that the classical Rudin-Shapiro sequence can be recovered as a generalized Rudin-Shapiro sequence associated to paperfolding with alternating instruction.
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页码：679 / 688
页数：10
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