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Mathematics  2012 

Edge scaling of the β-Jacobi ensemble

DOI: 10.1007/s10955-012-0634-3

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Abstract:

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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