GranMa 2011

Oct 3 - 6, 2011

Institut Henri Poincaré, Paris




Practical details



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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