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arXiv 0705.2873math-phmath.MP
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A simple extension of Stollmann's lemma to correlated potentials

Victor Tchoulaevski

英文摘要:

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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