Mixed random-quasiperiodic cocycles

DOI10.1007/S00574-022-00313-9OpenAlexW3199234838MaRDI QIDQ2091203

Silvius Klein, Ao Cai, Pedro Duarte

Publication date: 31 October 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09544

zbMATH Keywords

Lyapunov exponentsdiscrete Schrödinger operatorsstochastic dynamical systemslinear cocycles

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Dynamical aspects of statistical mechanics (37A60)

Related Items (7)

Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles ⋮ Furstenberg theory of mixed random-quasiperiodic cocycles ⋮ Spectral characteristics of Schrödinger operators generated by product systems ⋮ The continuity problem of Lyapunov exponents ⋮ A dynamical Thouless formula ⋮ An invitation to \(SL_2(\mathbb{R})\) cocycles over random dynamics ⋮ Randomness versus quasi-periodicity

Cites Work

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• Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles
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• Lyapunov exponents of linear cocycles. Continuity via large deviations
• The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
• Schrödinger operators with dynamically defined potentials
• Lectures on Lyapunov Exponents
• Products of Random Matrices
• Noncommuting Random Products
• Optimal Transport

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