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

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

2011-07-28

arxiv.org/abs/1107.5724v1

Physics

Mathematical Physics

30 pages, 1 figure

Scientific paper

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.

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