On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble

T. Shcherbina

We consider the deformed Gaussian Ensemble $H_n=M_n+H_n^{(0)}$ in which $H_n^{(0)}$ is a diagonal Hermitian matrix and $M_n$ is the Gaussian Unitary Ensemble (GUE) random matrix. A…