STRONG DYNAMICAL LOCALIZATION FOR THE ALMOST MATHIEU MODEL

DOI10.1142/S0129055X01000855zbMath1029.81026OpenAlexW2094028990WikidataQ102037713 ScholiaQ102037713MaRDI QIDQ4418297

François Germinet, Svetlana Ya. Jitomirskaya

Publication date: 7 August 2003

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

Full work available at URL: https://doi.org/10.1142/s0129055x01000855

zbMATH Keywords

diophantine frequencies

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

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A characterization of the Anderson metal-insulator transport transition ⋮ Ballistic motion in one-dimensional quasi-periodic discrete Schrödinger equation ⋮ Exponential dynamical localization for the almost Mathieu operator ⋮ Exponential dynamical localization in expectation for the one dimensional Anderson model ⋮ Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators ⋮ Exponential Dynamical Localization: Criterion and Applications ⋮ Localization in one-dimensional quasi-periodic nonlinear systems ⋮ Reducibility of one-dimensional quasi-periodic Schrödinger equations ⋮ Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles ⋮ Upper bounds in quantum dynamics ⋮ SPECTRAL PROPERTIES OF DYNAMICAL LOCALIZATION FOR SCHRÖDINGER OPERATORS

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