Uniformly hyperbolic finite-valued SL(2, R)-cocycles

被引：41

作者：

Avila, Artur ^{[1
,2
]}

Bochi, Jairo ^{[3
]}

Yoccoz, Jean-Christophe ^{[4
]}

机构：

[1] Inst Math Jussieu, CNRS, UMR 7586, F-75013 Paris, France

[2] IMPA, BR-22460320 Rio De Janeiro, Brazil

[3] PUC Rio, Dept Matemat, BR-22453900 Rio De Janeiro, Brazil

[4] Coll France, F-75005 Paris, France

来源：

COMMENTARII MATHEMATICI HELVETICI | 2010年 / 85卷 / 04期

关键词：

Linear cocycles; uniform hyperbolicity; bifurcations; iterated function systems; LYAPUNOV EXPONENTS; DETERMINISTIC PRODUCTS; MATRICES;

D O I：

10.4171/CMH/212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider finite families of SL(2, R) matrices whose products display uniform exponential growth. These form open subsets of (SL(2, R))(N), and we study their components, boundary, and complement. We also consider the more general situation where the allowed products of matrices satisfy a Markovian rule.

引用

页码：813 / 884

页数：72

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