The density of linear symplectic cocycles with simple Lyapunov spectrum in \({\mathcal G}_{IC}(X, \mathrm{SL}(2,\mathbb R))\)

DOI10.1007/S10114-005-0571-ZzbMath1122.37040OpenAlexW2012565591MaRDI QIDQ2431919

Xiongping Dai

Publication date: 24 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0571-z

zbMATH Keywords

nonuniform hyperbolicitylinear cocycle

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (1)

Hyperbolicity and integral expression of the Lyapunov exponents for linear cocycles

Cites Work

• Unnamed Item
• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
• Invariant families of cones and Lyapunov exponents
• Positive Lyapunov exponents for a dense set of bounded measurable SL(2, ℝ)-cocycles
• Linear cocycles with simple Lyapunov spectrum are dense in $L^\infty$

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