Minimal Cantor systems and unimodal maps

被引：13

作者：

Bruin, H ^{[1
]}

机构：

[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2003年 / 9卷 / 3-4期

关键词：

Minimal Cantor systems; unimodal maps; Bratelli diagrams; Vershik adic transformations;

D O I：

10.1080/1023619021000047743

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the restriction of unimodal maps f to the omega-limit set omega(c) of the critical point for certain cases where omega(c) is a Minimal Cantor set. We investigate the relation of these minimal systems to enumeration scales (generalized adding machines), to Vershik adic transformations on ordered Bratelli diagrams and to substitution shifts. Sufficient conditions are given for (omega(c),f) to be uniquely ergodic.

引用

页码：305 / 318

页数：14

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