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arXiv · 1203.4170

Edge scaling of the β-Jacobi ensemble

Diane Holcomb·Gregorio R. Moreno Flores
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Abstract

We study the scaling limit of the spectrum of the β-Jacobi ensemble at the soft-edge and hard-edge for general values of β. 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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Diane Holcomb, Gregorio R. Moreno Flores. 2012-03-26. Edge scaling of the β-Jacobi ensemble. https://doi.org/10.1007/s10955-012-0634-3

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