Nonstandard limit theorems and large deviation for beta -Jacobi ensembles with a different scaling

Yutao Ma, Yong-Hua Mao, Siyu Wang

We consider $\beta$-Jacobi ensembles with parameters $p_1,p_2\ge n.$ We prove that the empirical measure of the rescaled Jacobi ensembles converges weakly to a modified Watcher law v…