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Coexistence of ac and pp spectrum for kicked quasi-periodic potentials
Published 14 Jan 2019 in math.DS | (1901.04418v1)
Abstract: We introduce a class of real analytic "peaky" potentials for which the corresponding quasi-periodic 1D Schr\"odinger operators exhibit, for quasiperiodic frequencies in a set of positive Lebesgue measure, both absolutely continuous and pure point spectrum.
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