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Mesoscopic Edge Universality of Orthogonal Polynomial Ensembles

Liu, Wenkui
arXiv (All) · Papers
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60b2060f05mathematical-physicsprobability
In this paper, we study the mesoscopic fluctuations at edges of orthogonal polynomial ensembles with both continuous and discrete measures. Our main result is a Central Limit Theorem (CLT) for linear statistics at mesoscopic scales. We show that if the recurrence coefficients for the associated orth
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