The relationship between entropy and strong orbit equivalence for the minimal homeomorphisms (I)

被引：7

|

作者：

Sugisaki, F ^{[1
]}

机构：

[1] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2003年 / 14卷 / 07期

关键词：

topological entropy; orbit equivalence; minimal dynamical system; dimension group;

D O I：

10.1142/S0129167X03001958

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every minimal homeomorphism of a Cantor set its strongly orbit equivalence class contains homeomorphisms of all possible finite entropies.

引用

收藏

页码：735 / 772

页数：38

相关论文

共 7 条

[1] Entropy, products, and bounded orbit equivalence
Kerr, David
LI, Hanfeng
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (03) : 904 - 942
[2] Minimal periodic orbit structure of 2-dimensional homeomorphisms
Solari, HG
Natiello, MA
JOURNAL OF NONLINEAR SCIENCE, 2005, 15 (03) : 183 - 222
[3] Entropy, virtual Abelianness and Shannon orbit equivalence
Kerr, David
Li, Hanfeng
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (12) : 3481 - 3500
[4] Some remarks on topological orbit equivalence of Cantor minimal systems
Hiroki, M
INTERNATIONAL JOURNAL OF MATHEMATICS, 2003, 14 (01) : 55 - 68
[5] Minimal topological actions do not determine the measurable orbit equivalence class
Ceccherini-Silberstein, Tullio
Elek, Gabor
GROUPS GEOMETRY AND DYNAMICS, 2008, 2 (02) : 139 - 163
[6] RELATIONSHIP BETWEEN LI-YORKE CHAOS AND POSITIVE TOPOLOGICAL SEQUENCE ENTROPY IN NONAUTONOMOUS DYNAMICAL SYSTEMS
Sotola, Jakub
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (10) : 5119 - 5128
[7] Orbit equivalence of p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-adic transformations and their iterates
Joanna Furno
Monatshefte für Mathematik, 2014, 175 (2) : 249 - 276