Coexistence of ac and pp spectrum for kicked quasi-periodic potentials

2019/01/14 by Bjerklöv, Kristian, Krikorian, Raphaël
#34D #47 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.04418

Abstract

We introduce a class of real analytic "peaky" potentials for which the corresponding quasi-periodic 1D Schrödinger operators exhibit, for quasiperiodic frequencies in a set of positive Lebesgue measure, both absolutely continuous and pure point spectrum.

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