Outliers and bounded rank perturbation for non-Hermitian random band
matrices
Outliers and bounded rank perturbation for non-Hermitian random band
matrices
In this work we consider general non-Hermitian square random matrices $X$ that include a wide class of random band matrices with independent entries. Whereas the existence of limiting density is largely unknown for these inhomogeneous models, we show that spectral outliers can be determined under very general conditions when perturbed …