Critical edge behavior in the modified Jacobi ensemble and Painlevé equations
Critical edge behavior in the modified Jacobi ensemble and Painlevé equations
We study the Jacobi unitary ensemble perturbed by an algebraic singularity at t > 1. For fixed t, this is the modified Jacobi ensemble studied by Kuijlaars et al. The main focus here, however, is the case when the algebraic singularity approaches the hard edge, namely t → 1+.