JournalsjstVol. 11, No. 3pp. 1215–1254

Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials

  • Kristian Bjerklöv

    KTH Royal Institute of Technology, Stockholm, Sweden

  • Raphaël Krikorian

    University of Cergy-Pontoise, France
Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials cover
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Abstract

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.

Cite this article

Kristian Bjerklöv, Raphaël Krikorian, Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials. J. Spectr. Theory 11 (2021), no. 3, pp. 1215–1254

DOI 10.4171/JST/370