In this talk, I will discuss almost Hermitian random matrices associated with classical Gaussian and Laguerre unitary ensembles.
Based on the approach of Ward’s equation and cross-section convergence, I will explain a way to deduce the bulk scaling limits, which interpolate sine and Ginbre point processes. Moreover I will present the edge scaling limits, which provide non-Hermitian extensions of Airy/Bessel point processes and explain some generalisations of bulk scaling limits.
This is based on joint work with Yacin Ameur.