Edge scaling of the β-Jacobi ensemble

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.

Minor changes

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Cited by in corpus (3)

• Linear Differential Equations for the Resolvents of the Classical Matrix Ensembles
• Asymptotics for products of characteristic polynomials in classical $\beta$-Ensembles
• A convergence framework for Airy${}_{\beta }$ line ensemble via pole evolution