Stochastic Regularization and Eigenvalue Concentration Bounds for Singular Ensembles of Random Operators

We propose a simple approach allowing reducing the eigenvalue concentration analysis of a class of random operator ensembles with singular probability distribution to the analysis of an auxiliary ensemble with bounded probability density. Our results apply to the Wegner- and Minami-type estimates fo...

Full description

Saved in:
Bibliographic Details
Published in:International Journal of Statistical Mechanics 2013-11, Vol.2013 (2013), p.1-14
Main Author: Chulaevsky, Victor
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We propose a simple approach allowing reducing the eigenvalue concentration analysis of a class of random operator ensembles with singular probability distribution to the analysis of an auxiliary ensemble with bounded probability density. Our results apply to the Wegner- and Minami-type estimates for single- and multiparticle operators.
ISSN:2356-7112
2314-6850
2314-6850
DOI:10.1155/2013/931063