On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum

Details On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum

2008-09-08

arxiv.org/abs/0809.1463v1

Physics

Mathematical Physics

Scientific paper

We obtain the recursive identities for the joint moments of the traces of the
powers of the resolvent for Gaussian ensembles of random matrices at the soft
and hard edges of the spectrum. We also discuss the possible ways to extend
these results to the non-Gaussian case.

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