Anderson localization for generic deterministic operators
Mathematical Physics
2011-04-07 v2 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.
Cite
@article{arxiv.1101.4892,
title = {Anderson localization for generic deterministic operators},
author = {Victor Chulaevsky},
journal= {arXiv preprint arXiv:1101.4892},
year = {2011}
}