58 citations · 206 across the 36 of their papers we have counts for
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math.PR2016★ 4 cited
Pairing between zeros and critical points of random polynomials with independent roots
Sean O'Rourke, Noah Williams
Let be a random, degree polynomial whose roots are chosen independently according to the probability measure on the complex plane. For a deterministic point lying…
math.PR2016★ 1 cited
Low-degree factors of random polynomials
Sean O'Rourke, Philip Matchett Wood
Motivated by the question of whether a random polynomial with integer coefficients is likely to be irreducible, we study the probability that a monic polynomial with integer coeffi…
math.PR2016★ 8 cited
Eigenvectors of random matrices: A survey
Sean O'Rourke, Van Vu, Ke Wang
Eigenvectors of large matrices (and graphs) play an essential role in combinatorics and theoretical computer science. The goal of this survey is to provide an up-to-date account on…