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arXiv · 1101.4892

Anderson localization for generic deterministic operators

Victor Chulaevsky
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Abstract

We consider a class of ensembles of lattice Schrödinger 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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Victor Chulaevsky. 2011-04-06. Anderson localization for generic deterministic operators. https://arxiv.org/abs/1101.4892

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