Self-similar cut-and-project sequences

被引：0

作者：

Balázi, P ^{[1
]}

Pelantová, E ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Prague 12000, Czech Republic

来源：

GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES | 2003年 / 173卷

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider one-dimensional aperiodic sequences Sigma arising from a two-dimensional cut-and-project scheme. Such sequences are given by two irrational numbers eta, epsilon and by a bounded interval. We give a necessary and sufficient condition on the parameters eta, Sigma and Omega under which Sigma is selfsimilar, i.e. there exists a real number gamma > I such that gammaSigma subset of Sigma .

引用

页码：201 / 204

页数：4

共 6 条

[1]

BALAZI P, 2002, SUBSTITUTION MATRICE

[2]

FERENCZI S, 2001, COMBINATORICS 3 INTE, P567

[3] Tau-wavelets of Haar [J].

Gazeau, JP ;

Patera, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (15) :4549-4559

[4]

GUIMOND LS, 2002, IN PRESS J THEORIE N

[5] Substitution rules for aperiodic sequences of the cut and project type [J].

Masáková, Z ;

Patera, J ;

Pelantová, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (48) :8867-8886

[6]

Steinhardt P. J., 1987, The Physics of Quasicrystals

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