Anderson localization for generic deterministic operators (1101.4892v2)

Published 25 Jan 2011 in math-ph and math.MP

Abstract: We consider a class of ensembles of lattice Schr\"odinger operators with deterministic random 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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Authors (1)

Victor Chulaevsky

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