On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians
Analysis of PDEs
2013-08-22 v1
Abstract
The aim of this work is to extend the results from [B2] on local eigenvalue spacings to certain 1D lattice Schrodinger with a Bernoulli potential. We assume the disorder satisfies a certain algebraic condition that enables one to invoke the recent results from [B1] on the regularity of the density of states. In particular we establish Poisson local eigenvalue statistics in those models
Cite
@article{arxiv.1308.4562,
title = {On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1308.4562},
year = {2013}
}
Comments
12 pages