The continuity problem of Lyapunov exponents
From MaRDI portal
Publication:6119559
DOI10.1007/978-3-031-41316-2_7OpenAlexW4388000142MaRDI QIDQ6119559
Publication date: 22 March 2024
Published in: New Trends in Lyapunov Exponents (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-41316-2_7
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complex one-frequency cocycles
- Random matrix products and measures on projective spaces
- Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model
- Analycity properties of the characteristic exponents of random matrix products
- The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open
- Continuity of Lyapunov exponents in the \(C^0\) topology
- Approximating Lyapunov exponents and stationary measures
- Régularité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes et applications. (Regularity of the largest characteristic exponent of products of independent random matrices and applications)
- A random cocycle with non Hölder Lyapunov exponent
- Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles
- Mixed random-quasiperiodic cocycles
- Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps
- Large deviations for products of random two dimensional matrices
- Lyapunov exponents of linear cocycles. Continuity via large deviations
- Perturbations of random matrix products
- Schrödinger operators with dynamically defined potentials
- Genericity of zero Lyapunov exponents
- Random product of quasi-periodic cocycles
- Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles
- (Dis)continuity of Lyapunov exponents
- Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles
- Lyapunov exponents of linear cocycles over Markov shifts
- Continuity of Lyapunov exponents for random two-dimensional matrices
- Lectures on Lyapunov Exponents
- Products of Random Matrices
- Noncommuting Random Products
- Upper bound on the regularity of the Lyapunov exponent for random products of matrices
- Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles
- Furstenberg theory of mixed random-quasiperiodic cocycles
