1107.5724 (Oleksiy Khorunzhiy)

On High Moments and the Spectral Norm of Large Dilute Wigner Random
Matrices    [PDF]

Oleksiy Khorunzhiy

We consider a dilute version of the Wigner ensemble of n-dimensional random matrices H such that each row has in average \rho_n non-zero elements. We study asymptotic properties of the spectral norm of H on the scale n^{-2/3} in the limit when \rho_n is of the order n^{-2/3(1+\epsilon)} with \epsilon >0.

View original: http://arxiv.org/abs/1107.5724