Affine actions of a free semigroup on the real line

被引：9

作者：

Bergelson, Vitaly ^{[1
]}

Misiurewicz, Michal

Senti, Samuel

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

[3] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2006年 / 26卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S014338570600037X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider actions of the free semigroup with two generators on the real line, where the generators act as affine maps, one contracting and one expanding, with distinct fixed points. Then every orbit is dense in a half-line, which leads to the question whether it is, in some sense, uniformly distributed. We present answers to this question for various interpretations of the phrase 'uniformly distributed'.

引用

页码：1285 / 1305

页数：21

共 18 条

[1]

24Walters P., 2000, An Introduction to Ergodic Theory, V79

[2]

Alseda L., 2000, Advanced Series in Nonlinear Dynamics, V5

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