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

Abstract

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

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