Non-Hermitian random matrices with a variance profile (I): Deterministic equivalents and limiting ESDs

Nicholas A. Cook, Walid Hachem, Jamal Najim +1

For each $n$, let $A_n=({\sigma }_{ij})$ be an $n\times n$ deterministic matrix and let $X_n=(X_{ij})$ be an $n\times n$ random matrix with i.i.d. centered entries of unit variance. We stu…