English

An estimate for the average spectral measure of random band matrices

Mathematical Physics 2012-02-14 v5 math.MP Spectral Theory

Abstract

For a class of random band matrices of band width WW, we prove regularity of the average spectral measure at scales ϵW0.99\epsilon \geq W^{-0.99}, and find its asymptotics at these scales.

Keywords

Cite

@article{arxiv.1101.4413,
  title  = {An estimate for the average spectral measure of random band matrices},
  author = {Sasha Sodin},
  journal= {arXiv preprint arXiv:1101.4413},
  year   = {2012}
}

Comments

19 pp., revised version