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An estimate for the average spectral measure of random band matrices

Published 23 Jan 2011 in math-ph, math.MP, and math.SP | (1101.4413v5)

Abstract: For a class of random band matrices of band width WW, we prove regularity of the average spectral measure at scales ϵ≥W<sup>−0.99\epsilon \geq W<sup>{-0.99}, and find its asymptotics at these scales.

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