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Homogeneous Spectrum for Limit-Periodic Operators

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If you have a question about this talk, please contact Mustapha Amrani.

Periodic and Ergodic Spectral Problems

Co-author: Milivoje Lukic (University of Toronto)

We will discuss the spectra of limit-periodic Schr”odinger operators. Specifically, the spectrum of a limit-periodic operator which obeys the Pastur-Tkachenko condition is homogeneous in the sense of Carleson. When combined with work of Gesztesy-Yuditskii, our theorem implies that the spectrum of a continuum Schr”odinger operator with Pastur—Tkachenko potential has infinite gap length whenever the potential fails to be uniformly almost periodic.

This talk is part of the Isaac Newton Institute Seminar Series series.

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