An estimate for the average spectral measure of random band matrices

Abstract

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

19 pp., revised version

References in corpus (2)

• Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model
• Random matrices, non-backtracking walks, and orthogonal polynomials

Cited by in corpus (4)

• Delocalization and Diffusion Profile for Random Band Matrices
• On the Wegner orbital model
• Universality for 1d random band matrices: sigma-model approximation
• Transfer matrix approach to 1d random band matrices: density of states