Zd Toeplitz arrays

被引：21

作者：

Cortez, MI

机构：

[1] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[2] Univ Bourgogne, Inst Math Bourgogne, UMR 5584, CNRS,UFR Sci & Tech, F-21078 Dijon, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2006年 / 15卷 / 03期

关键词：

primary; 54H20; secondary; 37B50;

D O I：

10.3934/dcds.2006.15.859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

pIn this paper we give a definition of Toeplitz sequences and odometers for Z(d) actions for d >= 1 which generalizes that in dimension one. For these new concepts we study properties of the induced Toeplitz dynamical systems and odometers classical for d = 1. In particular, we characterize the Z(d) - regularly recurrent systems as the minimal almost 1-1 extensions of odometers and the Z(d)-Toeplitz systems as the family of sub shifts which are regularly recurrent.

引用

页码：859 / 881

页数：23

共 16 条

[1]

Auslander Joseph, 1988, North-Holland Mathematics Studies, V153

[2]

BENEDETTI R, 2003, ERGOD THEOR DYN, V23, P573

[3] Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems [J].