Abstract
For a class of random band matrices of band width W, we prove regularity of the average spectral measure at scales ϵ≥W −0.99, and find its asymptotics at these scales.
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Supported by NSF under agreement DMS-0635607.
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Sodin, S. An Estimate for the Average Spectral Measure of Random Band Matrices. J Stat Phys 144, 46–59 (2011). https://doi.org/10.1007/s10955-011-0243-6
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DOI: https://doi.org/10.1007/s10955-011-0243-6