A note on palindromicity

被引：23

作者：

Baake, M ^{[1
]}

机构：

[1] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 49卷 / 03期

关键词：

Schrodinger operators; symbolic dynamics; quasicrystals; singular continuous spectra;

D O I：

10.1023/A:1007678316583

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two results on palindromicity of bi-infinite words in a finite alphabet are presented. The first is a simple, but efficient criterion to exclude palindromicity of minimal sequences and applies, in particular, to the Rudin-Shapiro sequence. The second provides a constructive method to build palindromic minimal sequences based upon regular, generic model sets with centro-symmetric window. These give rise to diagonal tight-binding models in one dimension with purely singular continuous spectrum.

引用

页码：217 / 227

页数：11

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