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

中文翻译：

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踢准周期势的绝对连续和纯点谱的共存

我们引入了一类实解析“峰值”势，对于一组正 Lebesgue 测度中的准周期频率，无论是绝对连续还是纯点谱，相应的准周期 1D-Schrödinger 算子都展示了这些势。