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Regularity Conditions for Convergence of Linear Statistics of GUE

Published 10 Oct 2015 in math.PR | (1510.02988v2)

Abstract: We establish a central limit theorem for the unnormalized linear statistic of the Gaussian Unitary Ensemble under optimal conditions: the linear statistics converges if and only if the expression for the limiting variance is finite.

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Authors (1)

  1. Phil Kopel 

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