Under uniform circular law, tail control, and repulsion assumptions, the empirical measure of level crossings in random matrix pencils converges to an explicit deterministic distribution, verified for complex Gaussians and conditional otherwise.
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Level Crossing in Random Matrices. III. Analogs of Girko's circular and Wigner's semicircle laws
Under uniform circular law, tail control, and repulsion assumptions, the empirical measure of level crossings in random matrix pencils converges to an explicit deterministic distribution, verified for complex Gaussians and conditional otherwise.