Some asymptotic properties of the spectrum of the Jacobi ensemble

Holger Dette, Jan Nagel

For the random eigenvalues with density corresponding to the Jacobi ensemble $$c\cdot \prod _{i<j}|{\lambda }_i-{\lambda }_j{|}^{\beta }\prod _{i=1}^n(2-{\lambda }_i{)}^a(2+{\lambda }_i{)}^b{I}_{(-2,2)}({\lambda }_i)$$ $(a, b…