56 citations · 68 across the 5 of their papers we have counts for
5 papers
On the Distribution of Complex Roots of Random Polynomials with Heavy-tailed Coefficients
Friedrich Götze, Dmitry Zaporozhets
Consider a random polynomial with i.i.d. complex-valued coefficients. Suppose that the distribution of has a slowly varying tai…
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 , be independent complex random variables with $\E X_{ij}=0$ and $\E |X_{ij}|^2=1$ and let $\m…
On the Asymptotic Spectrum of Products of Independent Random Matrices
Friedrich Götze, Alexander Tikhomirov
We consider products of independent random matrices with independent entries. The limit distribution of the expected empirical distribution of eigenvalues of such products is compu…
On the asymptotic distribution of singular values of products of large rectangular random matrices
Nikita Alexeev, Friedrich Götze, Alexander Tikhomirov
We consider products of independent large random rectangular matrices with independent entries. The limit distribution of the expected empirical distribution of singular values of…
On the Circular Law
F. Götze, A. Tikhomirov
We consider the joint distribution of real and imaginary parts of eigenvalues of random matrices with independent real entries with mean zero and unit variance. We prove the conver…