On Eigenvalue spacings for the 1-D Anderson model with singular site distribution
Analysis of PDEs
2013-08-23 v1 Mathematical Physics
math.MP
Abstract
We study eigenvalue spacings and local eigenvalue statistics for 1D lattice Schrodinger operators with Holder regular potential, obtaining a version of Minami's inequality and Poisson statistics for the local eigenvalue spacings. The main additional new input are regular properties of the Furstenberg measures and the density of states obtained in some of the author's earlier work.
Cite
@article{arxiv.1308.4905,
title = {On Eigenvalue spacings for the 1-D Anderson model with singular site distribution},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1308.4905},
year = {2013}
}
Comments
13 pages