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math.PR2016
Universality of the Stochastic Bessel Operator
Brian Rider, Patrick Waters
We establish universality at the hard edge for general beta ensembles provided that the background potential V is a polynomial such that x -> V(x^2) is uniformly convex and beta is…
math.CO2016
Fine structure of moments of the KMK transform of the Poissonized Plancharel measure
Patrick Waters
We consider asymptotics behavior of Poissonized Plancharel measures as the poissonization parameter goes to infinity. Recently Moll proved a convergent series expansion for sta…