Universality of the second correlation function of the deformed Ginibre ensemble

Ievgenii Afanasiev, Mariya Shcherbina, Tatyana Shcherbina

We study the deformed complex Ginibre ensemble $H=A_0+H_0$, where $H_0$ is the complex matrix with iid Gaussian entries, and $A_0$ is some general $n\times n$ matrix (it can be ran…