On the asymptotic distribution of the singular values of powers of random matrices

Nikita Alexeev, Friedrich Götze, Alexander Tikhomirov

We consider powers of random matrices with independent entries. Let $X_{ij},i,j\ge 1$, be independent complex random variables with $\E X_{ij}=0$ and $\E |X_{ij}|^2=1$ and let $\m…