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arxiv: 1203.4170 · v2 · pith:F272ZA2Mnew · submitted 2012-03-19 · 🧮 math.PR

Edge scaling of the β-Jacobi ensemble

classification 🧮 math.PR
keywords beta-jacobiensemblepointprocessesscalingairybesselbeta
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We study the scaling limit of the spectrum of the \beta-Jacobi ensemble at the soft-edge and hard-edge for general values of \beta. We show that the limiting point processes correspond respectively to the stochastic Airy and Bessel point processes introduced in Ramirez-Rider-Virag and Ramirez-Rider.

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