Discrete Schr枚dinger operators with periodic and almost periodic potentials
Discrete Schr枚dinger operators with periodic and almost periodic potentials
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Mira Shamus, IAS
The first half of the talk will be a survey; I will start from general facts about discrete Schr枚dinger 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.