Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices

Serban Belinschi, Charles Bordenave, Mireille Capitaine +1

We consider a square random matrix of size $N$ of the form $P(Y,A)$ where $P$ is a noncommutative polynomial, $A$ is a tuple of deterministic matrices converging in $\ast$-distribu…