Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591475 | Journal of Functional Analysis | 2012 | 21 Pages |
Abstract
We consider a class of ensembles of lattice Schrödinger operators with deterministic potentials, including quasi-periodic potentials with Diophantine frequencies, depending upon an infinite number of parameters in an auxiliary measurable space. Using a variant of the Multi-Scale Analysis, we prove Anderson localization for generic ensembles in the strong disorder regime and establish an analog of Minami-type bounds for spectral spacings.
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Mathematics
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