Density of positive Lyapunov exponents for quasiperiodic SL\((2, \mathbb R)\)-cocycles in arbitrary dimension

DOI10.3934/JMD.2009.3.631zbMath1191.34051arXiv1004.4349OpenAlexW2007779841MaRDI QIDQ962233

Artur Avila

Publication date: 6 April 2010

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4349

zbMATH Keywords

Lyapunov exponentscocyclesquasiperiodic

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (5)

Density of positive Lyapunov exponents for 𝑆𝐿(2,ℝ)-cocycles ⋮ On the Lyapunov exponent of certain \(SL (2,\mathbb R)\)-valued cocycles. II ⋮ Continuous-time extensions of discrete-time cocycles ⋮ Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems ⋮ Density of positive Lyapunov exponents for symplectic cocycles

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