Generalized eigenvalue-counting estimates for the Anderson model
Mathematical Physics
2009-11-13 v3 math.MP
Abstract
We generalize Minami's estimate for the Anderson model and its extensions to eigenvalues, allowing for arbitrary intervals and arbitrary single-site probability measures with no atoms. As an application, we derive new results about the multiplicity of eigenvalues and Mott's formula for the ac-conductivity when the single site probability distribution is H\"older continuous.
Cite
@article{arxiv.0804.3202,
title = {Generalized eigenvalue-counting estimates for the Anderson model},
author = {Jean-Michel Combes and François Germinet and Abel Klein},
journal= {arXiv preprint arXiv:0804.3202},
year = {2009}
}
Comments
Minor revision