Robin Pemantle and Igor Rivin conjectured that given any distribution $\mu$ on the complex plane, if we select points $z_1, z_2, ..., z_n$ using $\mu$, then the empirical distribution of the critical points of the polynomial $p_n(z) = (z-z_1)(z-z_2)...(z-z_n)$ converges weakly to $\mu$ as $n$ goes to $\infty$. Pemantle and Rivin, in their paper, proved the conjecture for a special class of...