Nonremovable zero Lyapunov exponents

被引：42

作者：

Gorodetski, AS ^{[1
]}

Ilyashenko, YS

Kleptsyn, VA

Nalsky, MB

机构：

[1] Independent Moscow Univ, Moscow, Russia

[2] Moscow MV Lomonosov State Univ, Moscow, Russia

[3] Cornell Univ, Ithaca, NY 14853 USA

[4] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia

[5] ENS, UMPA, UMR 5669, CNRS, Lyon, France

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2005年 / 39卷 / 01期

基金：

俄罗斯基础研究基金会; 美国国家科学基金会;

关键词：

Lyapunov exponent; partially hyperbolic system; nonuniform hyperbolicity; dynamical system; skew product; Bernoulli diffeomorphism;

D O I：

10.1007/s10688-005-0014-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Skew products over a Bernoulli shift with a circle fiber are studied. We prove that in the space of such products there exists a nonempty open set of mappings each of which possesses an invariant ergodic measure with one of the Lyapunov exponents equal to zero. The conjecture that the space of C-2-diffeomorphisms of the 3-dimensional torus into itself has a similar property is discussed.

引用

页码：21 / 30

页数：10

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