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arxiv: 1807.00732 · v2 · pith:PWHFKE2Hnew · submitted 2018-07-02 · 🧮 math.SP · math-ph· math.DS· math.MP

Localization for quasiperiodic operators with unbounded monotone potentials

classification 🧮 math.SP math-phmath.DSmath.MP
keywords potentialslocalizationmonotoneoperatorsquasiperiodicresultsunboundedanalytic
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We establish non-perturbative Anderson localization for a wide class of 1D quasiperiodic operators with unbounded monotone potentials, extending the classical results on Maryland model and perturbative results for analytic potentials by B\'ellissard, Lima, and Scoppola.

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