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On eigenvector statistics in the spherical and truncated unitary ensembles

On eigenvector statistics in the spherical and truncated unitary ensembles

We study the overlaps between right and left eigenvectors for random matrices of the spherical ensemble, as well as truncated unitary ensembles in the regime where half of the matrix at least is truncated. These two integrable models exhibit a form of duality, and the essential steps of our investigation …