R-transforms for non-Hermitian matrices derive from one scalar function of two variables via spherical integrals and the replica method.
Random Hermitian versus random non-Hermitian opera- tors—unexpected links.Journal of Physics A: Mathematical and General, 39(32):10107, 2006
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R-transforms for non-Hermitian matrices: a spherical integral approach
R-transforms for non-Hermitian matrices derive from one scalar function of two variables via spherical integrals and the replica method.