Exact dynamical decay rate for the almost Mathieu operator

DOI10.4310/MRL.2020.V27.N3.A8zbMath1461.37029arXiv1812.02860MaRDI QIDQ1996247

Helge Krüger, Wencai Liu, Svetlana Ya. Jitomirskaya

Publication date: 4 March 2021

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02860

zbMATH Keywords

Lyapunov exponentDiophantine frequenciesMathieu operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (6)

Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators ⋮ Exponential Dynamical Localization: Criterion and Applications ⋮ Quantitative inductive estimates for Green's functions of non-self-adjoint matrices ⋮ Non-Lyapunov annealed decay for 1d Anderson eigenfunctions ⋮ One-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominators

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