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Perturbative methods for Schrödinger operator: from periodic to quasiperiodic potentials.

Date: 
Tuesday 24th March 2015 - 13:30 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
Co-authors: Young-Ran Lee (Sogang University), Roman Shterenberg (UAB)

We consider Schrödinger operator in dimension two and discuss perturbative methods and spectral results for periodic, limit-periodic and quasi-periodic potentials. We start with methods for periodic potentials, and then discuss their development for limit-periodic potentials, and, eventually, multiscale analysis in the momentum space for quasi-periodic potentials.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons