Sean O’Rourke

most citedProducts of independent elliptic random matrices

49 citations · 50 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2014

Critical points of random polynomials and characteristic polynomials of random matrices

Sean O'Rourke

Let $p_{n}$ be the characteristic polynomial of an $n \times n$ random matrix drawn from one of the compact classical matrix groups. We show that the critical points of $p_{n}$ converg…

math.PR2014★ 1 cited

Central limit theorem for linear eigenvalue statistics of elliptic random matrices

Sean O'Rourke, David Renfrew

We consider a class of elliptic random matrices which generalize two classical ensembles from random matrix theory: Wigner matrices and random matrices with iid entries. In particu…

math.PR2014★ 49 cited

Products of independent elliptic random matrices

Sean O'Rourke, David Renfrew, Alexander Soshnikov +1

For fixed $m > 1$ , we study the product of $m$ independent $N \times N$ elliptic random matrices as $N$ tends to infinity. Our main result shows that the empirical spectral distrib…