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Localization for quasiperiodic operators with unbounded monotone potentials (1807.00732v2)
Published 2 Jul 2018 in math.SP, math-ph, math.DS, and math.MP
Abstract: 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.