REVIEW 1 cited by
Mixed Moments for the Product of Ginibre Matrices
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
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 $N$, they are given by an enumeration of non-crossing pairings weighted by Fuss-Catalan numbers.
Forward citations
Cited by 1 Pith paper
-
Spectral radius concentration for inhomogeneous random matrices with independent entries
For inhomogeneous random matrices, the spectral radius is bounded by the variance row/column sums up to the optimal sparsity (log n)^{-1/2}.
Discussion (0). Continue with ORCID to comment.