Diego Armentano, Carlos Beltrán, and Michael Shub (2009)
Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials
Transactions of the American Mathematical Society, 363(6):2955-2965.
We prove that points in the sphere associated with roots of random
polynomials via the stereographic projection, are surprisignly well-suited with
respect to the minimal logarithmic energy on the sphere. That is, roots of
random polynomials provide a fairly good approximation to Elliptic Fekete
points.

