Asymptotic distribution of singular values of powers of random matrices

Nikita Alexeev, Friedrich Götze, Alexander Tikhomirov

Let $x$ be a complex random variable such that ${\E {x}=0}$, ${\E |x|^2=1}$, ${\E |x|^{4} < \infty}$. Let $x_{ij}$, $i,j\in \{1,2,...\}$ be independet copies of $x$. Let ${\Xb=(N^…