A simple extension of Stollmann's lemma to correlated potentials
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We propose a fairly simple and natural extension of Stollmann's lemma to correlated random variables. This extension allows (just as the original Stollmann's lemma does) to obtain Wegner-type estimates even in some problems of spectral analysis of random operators where the Wegner's lemma is inapplicable (e.g. for multi-particle Hamiltonians).
Keywords
Cite
@article{arxiv.0705.2873,
title = {A simple extension of Stollmann's lemma to correlated potentials},
author = {Victor Tchoulaevski},
journal= {arXiv preprint arXiv:0705.2873},
year = {2007}
}