A note on measure-expansive diffeomorphisms

被引：37

作者：

Artigue, Alfonso ^{[1
]}

Carrasco-Olivera, Dante ^{[2
]}

机构：

[1] Univ Republ, Dept Matemat & Estadist Litoral, Salto, Uruguay

[2] Univ Bio Bio, Dept Matemat, Concepcion, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 428卷 / 01期

关键词：

Expansive homeomorphism; Expansive measure; Quasi-Anosov; HOMEOMORPHISMS; SURFACES;

D O I：

10.1016/j.jmaa.2015.02.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove that a homeomorphism is countably-expansive if and only if it is measure-expansive. This result is applied for showing that the C-1-interior of the sets of expansive, measure-expansive and continuum-wise expansive C-1-diffeomorphisms coincide. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：713 / 716

页数：4

共 6 条

[1] ON MEASURE EXPANSIVE DIFFEOMORPHISMS
Pacifico, M. J.
Vieitez, J. L.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (02) : 811 - 819
[2] EXPANSIVE PARTIALLY HYPERBOLIC DIFFEOMORPHISMS WITH ONE-DIMENSIONAL CENTER
Sambarino, Martin
Vieitez, Jose
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (09) : 3867 - 3880
[3] Cr surface diffeomorphisms with no maximal entropy measure
Buzzi, Jerome
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2014, 34 : 1770 - 1793
[4] Measure expansive flows for the generic view point
Lee, Manseob
Oh, Jumi
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2016, 22 (07) : 1005 - 1018
[5] A note on Hausdorff dimension of invariant measures of circle diffeomorphisms with breaks
Marzougui, Habib
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2025,
[6] A note on measure and expansiveness on uniform spaces
Das, Pramod
Das, Tarun
APPLIED GENERAL TOPOLOGY, 2019, 20 (01): : 19 - 31

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