Discrete Schrödinger operators with periodic and almost periodic potentials

Discrete Schrödinger operators with periodic and almost periodic potentials

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Mira Shamus, IAS
Fine Hall 801

The first half of the talk will be a survey; I will start from general facts about discrete Schrödinger operators with periodic potentials, and then discuss operators with almost periodic potentials, focusing on the almost Mathieu operator. In the second half, I will state and prove some results connecting the absolutely continuous spectrum of almost periodic operators to the spectra of their periodic approximations.