The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open

DOI10.1007/s00220-018-3223-8zbMath1395.37036OpenAlexW2886671807MaRDI QIDQ1673720

Jiangong You, Yi Qian Wang

Publication date: 13 September 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-018-3223-8

zbMATH Keywords

Lyapunov exponentquasi-periodic Schrödinger cocycle

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Related Items (11)

Limit-periodic Schrödinger operators with a discontinuous Lyapunov exponent ⋮ Non-perturbative positivity and weak Hölder continuity of Lyapunov exponent for some discrete multivariable Jacobi operators ⋮ The continuity problem of Lyapunov exponents ⋮ Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles ⋮ A dynamical Thouless formula ⋮ One-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominators ⋮ Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps ⋮ Lyapunov exponents of discrete quasi-periodic Gevrey Schrödinger equations ⋮ Joint continuity of Lyapunov exponent for finitely smooth quasi-periodic Schrödinger cocycles ⋮ Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrödinger operators ⋮ The absolutely continuous spectrum of finitely differentiable quasi-periodic Schrödinger operators

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