Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices

We study eigenvectors in the deformed Gaussian unitary ensemble of random matrices $H=W\tilde{H}W$, where $\tilde{H}$ is a random matrix from the Gaussian unitary ensemble and W is a deterministic diagonal matrix with positive entries. Using the supersymmetry approach we calculate analytically the m...

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Bibliographic Details
Main Authors: Truong, K., Ossipov, A.
Format: Article
Published: IOP 2016
Online Access:https://eprints.nottingham.ac.uk/44637/