Approximate transitivity for zero-entropy systems

被引：5

作者：

Dooley, A ^{[1
]}

Quas, A

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

[2] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2005年 / 25卷

关键词：

D O I：

10.1017/S0143385704000525

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Morse system is approximately transitive (AT) and that a system of positive entropy cannot be AT. We give examples of zero-entropy systems that are not AT, one of which is a two-point extension of a system that is AT.

引用

页码：443 / 453

页数：11

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