MARKOV PARTITIONS REFLECTING THE GEOMETRY OF x2, x3

被引：1

作者：

Ward, Thomas ^{[1
]}

Yayama, Yuki ^{[2
]}

机构：

[1] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 24卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Markov partition; expansive subdynamics; solenoid; ENTROPY RANK-ONE; EXPANSIVE SUBDYNAMICS; DYNAMICAL-SYSTEMS; AUTOMORPHISMS; SOLENOIDS;

D O I：

10.3934/dcds.2009.24.613

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an explicit geometric description of the x2, x3 system, and use this to study a uniform family of Markov partitions related to those of Wilson and Abramov. The behaviour of these partitions is stable across expansive cones and transitions in this behaviour detect the non-expansive lines.

引用

页码：613 / 624

页数：12

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