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math.PR2007★ 1 cited
Janossy densities for Unitary ensembles at the spectral edge
Brian Rider, Xin Zhou
For a broad class of unitary ensembles of random matrices we demonstrate the universal nature of the Janossy densities of eigenvalues near the spectral edge, providing a different…
math.PR2001★ 1 cited
Optimal tail estimates for directed last passage site percolation with geometric random variables
Jinho Baik, Percy Deift, Ken McLaughlin +2
In this paper, we obtain optimal uniform lower tail estimates for the probability distribution of the properly scaled length of the longest up/right path of the last passage site p…