Upper bound on the regularity of the Lyapunov exponent for random products of matrices
From MaRDI portal
Publication:6046996
DOI10.1007/s00220-023-04815-5zbMath1528.37029arXiv2208.03575OpenAlexW4385658349MaRDI QIDQ6046996
Jamerson Bezerra, Pedro Duarte
Publication date: 6 October 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.03575
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (2)
The continuity problem of Lyapunov exponents ⋮ An invitation to \(SL_2(\mathbb{R})\) cocycles over random dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Exponential dichotomy, rotation number, and linear differential operators with bounded coefficients
- Analycity properties of the characteristic exponents of random matrix products
- On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products
- 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)
- Uniformly hyperbolic finite-valued \(\mathrm{SL}(2,\mathbb R)\)-cocycles
- A random cocycle with non Hölder Lyapunov exponent
- Large deviations for products of random two dimensional matrices
- Lyapunov exponents of linear cocycles. Continuity via large deviations
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Random Walks on Reductive Groups
- Density of positive Lyapunov exponents for 𝑆𝐿(2,ℝ)-cocycles
- Produits de matrices aléatoires et applications aux propriétés géometriques des sous-groupes du groupe linéaire
- The metric entropy of diffeomorphisms
- Perturbations of random matrix products
- Schrödinger operators with dynamically defined potentials
- Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles
- Probability Inequalities for Sums of Bounded Random Variables
- On the Ledrappier–Young formula for self-affine measures
- Continuity of Lyapunov exponents for random two-dimensional matrices
- Lectures on Lyapunov Exponents
- Products of Random Matrices
- Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions
This page was built for publication: Upper bound on the regularity of the Lyapunov exponent for random products of matrices
