DENSITY OF POSITIVE LYAPUNOV EXPONENTS FOR SL(2, R)-COCYCLES

被引：29

作者：

Avila, Artur ^{[1
,2
]}

机构：

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

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

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 24卷 / 04期

关键词：

GENERICITY; SPECTRUM;

D O I：

10.1090/S0894-0347-2011-00702-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：999 / 1014

页数：16

共 50 条

[1] DENSITY OF POSITIVE LYAPUNOV EXPONENTS FOR QUASIPERIODIC SL(2, R)-COCYCLES IN ARBITRARY DIMENSION
Avila, Artur
JOURNAL OF MODERN DYNAMICS, 2009, 3 (04) : 631 - 636
[2] POSITIVE LYAPUNOV EXPONENTS FOR A DENSE SET OF BOUNDED MEASURABLE SL(2,R)-COCYCLES
KNILL, O
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1992, 12 : 319 - 331
[3] Density of positive Lyapunov exponents for symplectic cocycles
Xu, Disheng
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019, 21 (10) : 3143 - 3190
[4] On SL(2, R) Valued Smooth Proximal Cocycles and Cocycles with Positive Lyapunov Exponents Over Irrational Rotation Flows
Nerurkar, Mahesh
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2011, 23 (03) : 451 - 473
[5] Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2, R) cocycles
Bochi, Jairo
Fayad, Bassam
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2006, 37 (03): : 307 - 349
[6] On the Herman-Avila-Bochi formula for Lyapunov exponents of SL(2, R)-cocycles
Baraviera, Alexandre T.
Dias, Joao Lopes
Duarte, Pedro
NONLINEARITY, 2011, 24 (09) : 2465 - 2476
[7] Positive lyapunov exponents for quasiperiodic Szego cocycles
Zhang, Zhenghe
NONLINEARITY, 2012, 25 (06) : 1771 - 1797
[8] Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2, ℝ) cocycles
Jairo Bochi*
Bassam Fayad
Bulletin of the Brazilian Mathematical Society, 2006, 37 : 307 - 349
[9] Lyapunov exponents at anomalies of SL(2, R)-actions
Schulz-Baldes, Hermann
Operator Theory, Analysis and Mathematical Physics, 2007, 174 : 159 - 172
[10] The density of linear symplectic cocycles with simple Lyapunov spectrum in GIC(X,SL(2,R))
Dai, XP
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (01) : 301 - 310

← 1 2 3 4 5 →