Generic continuity of metric entropy for volume-preserving diffeomorphisms

被引：1

作者：

Yang, Jiagang ^{[1
]}

Zhou, Yunhua ^{[2
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estat, Dept Geomet, BR-24020140 Niteroi, RJ, Brazil

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 01期

关键词：

Continuity; Metric entropy; Volume-preserving; FORMULA; MAPS;

D O I：

10.1016/j.jmaa.2014.12.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a compact manifold and Diff(m)(1) (M) be the set of C-1 volume-preserving diffeomorphisms of M. We prove that there is a residual subset R subset of Diff(m)(1) (M) such that each f is an element of R. is a continuity point of the map g -> h(m)(g) from Diff(m)(1) (M) to R, where h(m)(g) is the metric entropy of g with respect to volume measure m. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：364 / 371

页数：8

共 50 条

[1] ON THE GROUP OF VOLUME-PRESERVING DIFFEOMORPHISMS
ISMAGILOV, RS
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1981, 17 (01): : 95 - 127
[2] Orbital Shadowing for C1-Generic Volume-Preserving Diffeomorphisms
Lee, Manseob
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[3] Volume-preserving diffeomorphisms with inverse shadowing
Manseob Lee
[J]. Journal of Inequalities and Applications, 2012
[4] ON THE GROUP OF VOLUME-PRESERVING DIFFEOMORPHISMS OF RN
MCDUFF, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 261 (01) : 103 - 113
[5] Volume-preserving diffeomorphisms with inverse shadowing
Lee, Manseob
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[6] Generalized Integrability and Volume-preserving Diffeomorphisms
Adam, C.
Sanchez-Guillen, J.
Wereszczynski, A.
[J]. 5TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES QTS5, 2008, 128
[7] NONUNIFORM HYPERBOLICITY, GLOBAL DOMINATED SPLITTINGS AND GENERIC PROPERTIES OF VOLUME-PRESERVING DIFFEOMORPHISMS
Avila, Artur
Bochi, Jairo
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (06) : 2883 - 2907
[8] Volume-Preserving Diffeomorphisms with Various Limit Shadowing
Lee, Manseob
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (02):
[9] VOLUME-PRESERVING DIFFEOMORPHISMS ON THE 3-SPHERE
DOWKER, JS
[J]. CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (07) : 1241 - 1251
[10] A MECHANICAL CONNECTION ON THE GROUP OF VOLUME-PRESERVING DIFFEOMORPHISMS
BARANOV, YS
GLIKLIKH, YE
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1988, 22 (02) : 133 - 135

← 1 2 3 4 5 →