AN OPEN SET OF UNBOUNDED COCYCLES WITH SIMPLE LYAPUNOV SPECTRUM AND NO EXPONENTIAL SEPARATION
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Publication:3502798
DOI10.1142/S0219493707002062zbMath1147.37031OpenAlexW1986590954MaRDI QIDQ3502798
Doan Thai Son, Nguyen Dinh Cong
Publication date: 20 May 2008
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493707002062
Dynamical aspects of measure-preserving transformations (37A05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
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Cites Work
- Unnamed Item
- The Lyapunov exponents of generic volume-preserving and symplectic maps
- Exponential separation, exponential dichotomy and spectral theory for linear systems of ordinary differential equations
- A spectral theory for linear differential systems
- Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps
- On the simplicity of the Lyapunov spectrum of products of random matrices
- Lp-GENERIC COCYCLES HAVE ONE-POINT LYAPUNOV SPECTRUM
- Linear cocycles with simple Lyapunov spectrum are dense in $L^\infty$
- Structural stability of linear random dynamical systems
- Lyapunov exponents with multiplicity 1 for deterministic products of matrices