Mixed Moments for the Product of Ginibre Matrices
arXiv:2007.10181
Abstract
We study the ensemble of a product of n complex Gaussian i.i.d. matrices. We find this ensemble is Gaussian with a variance matrix which is averaged over a multi-Wishart ensemble. We compute the mixed moments and find that at large , they are given by an enumeration of non-crossing pairings weighted by Fuss-Catalan numbers.
arXiv comment29 pages
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