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The first reference is a Ph.D. thesis, probably the best entry point to the literature of free probability approaches to eigenvalue/eigenvector correlations; the other references involve particular applications.

• Free probability approach to microscopic statistics of random matrix eigenvalues (2017)

• Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem (2016)

• Complete diagrammatics of the single ring theorem (2017)