GranMa 2011Oct 3  6, 2011Institut Henri Poincaré, Paris 

Oleksiy Khorunzhiy, Université de Versailles: On high moments and spectral norm of large dilute Wigner random matricesWe consider the dilute version of real symmetric NxN Wigner random matrices H that have in average p nonzero 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. Go to the GranMa home page. 