CENTER LYAPUNOV EXPONENTS IN PARTIALLY HYPERBOLIC DYNAMICS

被引：5

作者：

Gogolev, Andrey ^{[1
]}

Tahzibi, Ali ^{[2
]}

机构：

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

[2] USP Sao Carlos, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

来源：

JOURNAL OF MODERN DYNAMICS | 2014年 / 8卷 / 3-4期

基金：

巴西圣保罗研究基金会;

关键词：

Center Lyapunov exponent; partially hyperbolic; Pesin manifold; NONHYPERBOLIC ERGODIC MEASURES; INVARIANT TORI; SMOOTH CONJUGACY; SYSTEMS; FOLIATIONS; DIFFEOMORPHISMS; EXISTENCE; GENERICITY; REGULARITY;

D O I：

10.3934/jmd.2014.8.549

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this survey, we discuss the problem of removing zero Lyapunov exponents of smooth invariant measures along the center direction of a partially hyperbolic diffeomorphism and various related questions. In particular, we discuss disintegration of a smooth invariant measure along the center foliation. We also simplify the proofs of some known results and include new questions and conjectures.

引用

页码：549 / 576

页数：28

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