Statistical properties of eigenvectors and eigenvalues of structured random matrices

We study the eigenvalues and the eigenvectors of N X N structured random matrices of the form H = W ~HW+D with diagonal matrices D and W and ~H from the Gaussian Unitary Ensemble. Using the supersymmetry technique we derive general asymptotic expressions for the density of states and the moments of...

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Bibliographic Details
Main Authors: Truong, K., Ossipov, A.
Format: Article
Published: IOP 2018
Subjects:
Online Access:https://eprints.nottingham.ac.uk/49036/