Replica method for eigenvalues of real Wishart product matrices

We show how the replica method can be used to compute the asymptotic eigenvalue spectrum of a real Wishart product matrix. For unstructured factors, this provides a compact, elementary derivation of a polynomial condition on the Stieltjes transform first proved by Müller [IEEE Trans. Inf. Theory. 48...

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Bibliographic Details
Main Author: Jacob A. Zavatone-Veth, Cengiz Pehlevan
Format: Article
Language:English
Published: SciPost 2023-04-01
Series:SciPost Physics Core
Online Access:https://scipost.org/SciPostPhysCore.6.2.026