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 et al. (J. Am. Math. Soc. 24(4):919-944, 2011) and Ramirez and Rider (Commun. Math. Phys. 288(3):887-906, 2009).