SYMBOLIC EXTENSIONS FOR PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS WITH 2-DIMENSIONAL CENTER BUNDLE

被引：5

作者：

Burguet, David ^{[1
]}

Fisher, Todd ^{[2
]}

机构：

[1] Univ Paris 06, LPMA, F-75252 Paris 05, France

[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 06期

关键词：

Symbolic extensions; partial hyperbolicity; VOLUME GROWTH; ENTROPY; ERGODICITY;

D O I：

10.3934/dcds.2013.33.2253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We relate the symbolic extension entropy of a partially hyperbolic dynamical system to the entropy appearing at small scales in local center manifolds. In particular, we prove the existence of symbolic extensions for C-2 partially hyperbolic diffeomorphisms with a 2-dimensional center bundle. 200 words.

引用

页码：2253 / 2270

页数：18

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[3]

[Anonymous], DISCRETE CO IN PRESS

[4]

[Anonymous], 1977, LECT NOTES MATH