Statistics of eigenvectors in noninvariant random matrix ensemblesTools Truong, Kevin (2018) Statistics of eigenvectors in noninvariant random matrix ensembles. PhD thesis, University of Nottingham.
AbstractIn this thesis we begin by presenting an introduction on random matrices, their different classes and applications in quantum mechanics to study the characteristics of the eigenvectors of a particular random matrix model. The focus of this work is on one of the oldest and most wellknown symmetry classes of random matrices  the Gaussian unitary ensemble. We look at how the different possible deformations of the Gaussian unitary ensemble could have an impact on the nature of the eigenvectors, and back up our results by numerical simulations to confirm validity.
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