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An Estimate for the Average Spectral Measure of Random Band Matrices

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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 ϵ≥W −0.99, and find its asymptotics at these scales.

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Authors and Affiliations

  1. School of Mathematics, Institute for Advanced Study, Einstein Dr., Princeton, NJ, 08540, USA

    Sasha Sodin

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  1. Sasha Sodin
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Correspondence to Sasha Sodin.

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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

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