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Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2, ℝ) cocycles
被引：0
作者：
Jairo Bochi*
Bassam Fayad
机构：
[1] Instituto de Matemática—UFRGS,
[2] LAGA UMR 7539,undefined
[3] Université Paris13,undefined
来源：
Bulletin of the Brazilian Mathematical Society
|
2006年
/
37卷
关键词：
linear cocycles;
Lyapunov exponents;
uniform hyperbolicity;
volume-preserving homeomorphisms;
Primary 37H15;
Secondary 37A05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the linear cocycle (T, A) induced by a measure preserving dynamical system T : X → X and a map A: X → SL(2, ℝ). We address the dependence of the upper Lyapunov exponent of (T, A) on the dynamics T when the map A is kept fixed. We introduce explicit conditions on the cocycle that allow to perturb the dynamics, in the weak and uniform topologies, to make the exponent drop arbitrarily close to zero.
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页码：307 / 349
页数：42
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