Wednesday, December 19, 2012

1107.5724 (Oleksiy Khorunzhiy)

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

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.
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