An estimate for the average spectral measure of random band matrices

Details An estimate for the average spectral measure of random band matrices An estimate for the average spectral measure of random band matrices

2011-01-23

arxiv.org/abs/1101.4413v5

J. Stat. Phys., Vol.144, Issue 1 (2011), pp. 46--59

Physics

Mathematical Physics

19 pp., revised version

Scientific paper

10.1007/s10955-011-0243-6

For a class of random band matrices of band width $W$, we prove regularity of
the average spectral measure at scales $\epsilon \geq W^{-0.99}$, and find its
asymptotics at these scales.

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