On High Moments and the Spectral Norm of Large Dilute Wigner Random Matrices
arXiv:1107.5724
Abstract
We consider a dilute version of the Wigner ensemble of n-dimensional random matrices H such that each row has in average ρ_n non-zero elements. We study asymptotic properties of the spectral norm of H on the scale n^{-2/3} in the limit when ρ_n is of the order n^{-2/3(1+ε)} with ε>0.
arXiv commentFinal version to appear in "Journal of Mathematical Physics, Analysis and Geometry"