On the almost-circular symplectic induced Ginibre ensemble
We consider the symplectic-induced Ginibre process, which is a Pfaffian point process on the plane. Let N be the number of points. We focus on the almost-circular regime where most of the points lie in a thin annulus (Formula presented.) of width (Formula presented.) as (Formula presented.). Our main results are the bulk scaling limits of all correlation functions near the real axis, and also away
