Poisson statistics of eigenvalues in the hierarchical Anderson model
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We study the eigenvalue statistics for the hieracharchial Anderson model of Molchanov. We prove Poisson fluctuations at arbitrary disorder, when the the model has spectral dimension d<1. The proof is based on Minami's technique and we give an elementary exposition of the probabilistic arguments.
Cite
@article{arxiv.0710.2582,
title = {Poisson statistics of eigenvalues in the hierarchical Anderson model},
author = {Evgenij Kritchevski},
journal= {arXiv preprint arXiv:0710.2582},
year = {2009}
}