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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.
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