A random cocycle with non Hölder Lyapunov exponent

DOI10.3934/DCDS.2019197zbMath1420.37014arXiv1811.02647OpenAlexW2962766812MaRDI QIDQ2000187

Manuel S. Santos, Pedro Duarte, Silvius Klein

Publication date: 28 June 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02647

zbMATH Keywords

integrated density of statesLyapunov exponentdiscrete Schrödinger operatorThouless formularandom linear cocycle

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Linear difference operators (47B39)

Related Items (9)

Large deviations for products of random two dimensional matrices ⋮ 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 ⋮ The continuity problem of Lyapunov exponents ⋮ A dynamical Thouless formula ⋮ An invitation to \(SL_2(\mathbb{R})\) cocycles over random dynamics ⋮ (Dis)continuity of Lyapunov exponents ⋮ Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles ⋮ Quantitative lower bounds on the Lyapunov exponent from multivariate matrix inequalities

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