Asymptotic orbits of primitive substitutions

被引：14

作者：

Barge, M

Diamond, B ^{[1
]}

Holton, C

机构：

[1] Coll Charleston, Dept Math, Charleston, SC 29424 USA

[2] Montana State Univ, Dept Math, Bozeman, MT 59717 USA

[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

THEORETICAL COMPUTER SCIENCE | 2003年 / 301卷 / 1-3期

关键词：

D O I：

10.1016/S0304-3975(02)00889-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A primitive, aperiodic substitution on d letters has at most d(2) asymptotic orbits; this bound is sharp. Since asymptotic arc components in tiling spaces associated with substitutions are in 1-1 correspondence with asymptotic words, this provides a bound for those as well. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：439 / 450

页数：12

共 7 条

[1]

[Anonymous], INTRO SYMBOLIC DYNAM

[2]

Barge M, 2001, ERGOD THEOR DYN SYST, V21, P1333

[3]

BERTHE V, 2002, LECT NOTES MATH, V1794

[4] A characterization of substitutive sequences using return words [J].