A simple extension of Stollmann's lemma to correlated potentials

Details A simple extension of Stollmann's lemma to correlated potentials A simple extension of Stollmann's lemma to correlated potentials

2007-05-20

arxiv.org/abs/0705.2873v1

Physics

Mathematical Physics

Scientific paper

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).

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