Oct 3 - 6, 2011
Institut Henri Poincaré, Paris
Oleksiy Khorunzhiy, Université de Versailles:
On high moments and spectral norm of large dilute Wigner random matrices
We consider the dilute version of real symmetric NxN Wigner random matrices H that have in average p non-zero elements per row. We study the asymptotic estimates for the high moments of matrices H and show that the value of a=2/3, p = N^a is to be critical with respect to the probability distribution of the spectral norm of H on the local scale that also changes at a=2/3.
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