Rigorous results for aperiodic and almost periodic substitution sequences

被引：4

作者：

Pinho, STR ^{[1
]}

Labao, TCP

机构：

[1] Univ Fed Bahia, Inst Fis, BR-40210340 Salvador, BA, Brazil

[2] Univ Estadual Feira de Santana, Dept Ciencias Exatas, BR-44031460 Feira De Santana, BA, Brazil

来源：

BRAZILIAN JOURNAL OF PHYSICS | 2000年 / 30卷 / 04期

关键词：

D O I：

10.1590/S0103-97332000000400026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recent studies of the effects of geometric fluctuations, associated with aperiodic exchange interactions, on the critical behavior of ferromagnetic Ising models on hierarchical lattices, were the motivation to investigate some properties of two-letter sequences generated by uniform substitutions. We rigorously identify the substitutions that generate either periodic or aperiodic (almost periodic or not) sequences. For instance, two known substitutions, the Thue-Morse and the period-doubling rules, generate aperiodic sequences of almost periodic type.

引用

页码：772 / 777

页数：6

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