Multiplicative non-Hermitian perturbations of classical ${\hat{I}}^2$-ensembles

Gökalp Alpan, Rostyslav Kozhan

We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation $(I+i\hat{I}“)H$, $\mathrm{rank}\hat{I}“=1$ of a random matrix $H$ from the Gaussian, Lague…