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math.PR2011
Hard edge tail asymptotics
Jose A. Ramirez, Brian Rider, Ofer Zeitouni
Let be the limiting smallest eigenvalue in the general (β, a)-Laguerre ensemble of random matrix theory. Here β>0, a >-1; for β=1,2,4 and integer a, this object governs the sin…
math.PR2011
Perturbed Toeplitz operators and radial determinantal processes
Torsten Ehrhardt, Brian Rider
We study a class of rotation invariant determinantal ensembles in the complex plane; examples include the eigenvalues of Gaussian random matrices and the roots of certain families…