Article ID Journal Published Year Pages File Type
4591475 Journal of Functional Analysis 2012 21 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory