Randomness versus quasi-periodicity

DOI10.1007/978-3-031-41316-2_3arXiv2301.06000OpenAlexW4388000316MaRDI QIDQ6200617

Ao Cai

Publication date: 22 March 2024

Published in: New Trends in Lyapunov Exponents (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06000

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Cites Work

• Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles
• Polynomial decay of the gap length for \(C^k\) quasi-periodic Schrödinger operators and spectral application
• Mixed random-quasiperiodic cocycles
• The absolutely continuous spectrum of finitely differentiable quasi-periodic Schrödinger operators
• Reducibility of finitely differentiable quasi-periodic cocycles and its spectral applications
• Lyapunov exponents of linear cocycles. Continuity via large deviations
• Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
• Markov Chains and Stochastic Stability
• Noncommuting Random Products
• Furstenberg theory of mixed random-quasiperiodic cocycles

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