An Estimate for the Average Spectral Measure of Random Band Matrices

Author： Sodin Sasha  

Publisher： Springer Publishing Company

ISSN： 0022-4715

Source： Journal of Statistical Physics, Vol.144, Iss.1, 2011-07, pp. : 46-59

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Abstract

For a class of random band matrices of band width W, we prove regularity of the average spectral measure at scales ≥W −0.99, and find its asymptotics at these scales.

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