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For a broad class of unitary ensembles of random matrices we demonstrate theuniversal nature of the Janossy densities of eigenvalues near the spectraledge, providing a different formulation of the probability distributions of thelimiting second, third, etc. largest eigenvalues of the ensembles in question.The approach is based on a representation of the Janossy densities in terms ofa system of orthogonal polynomials, plus the steepest descent method of Deiftand Zhou for the asymptotic analysis of the associated Riemann-Hilbert problem.

Janossy densities for Unitary ensembles at the spectral edge