The Brown measure of p + iq for freely independent two-point Hermitian operators is derived in closed form, with the continuous part supported on a hyperbola.
Anderson, Alice Guionnet, and Ofer Zeitouni.An introduction to random matrices
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The Brown Measure of Non-Hermitian Sums of Projections
The Brown measure of p + iq for freely independent two-point Hermitian operators is derived in closed form, with the continuous part supported on a hyperbola.