Minimizing the Discrete Logarithmic Energy on the Sphere : the Role of Random Polynomials

@inproceedings{Armentano2011MinimizingTD,
  title={Minimizing the Discrete Logarithmic Energy on the Sphere : the Role of Random Polynomials},
  author={Diego Armentano and Carlos Beltr{\'a}n and Michael Shub},
  year={2011}
}
We prove that points in the sphere associated with roots of random polynomials via the stereographic projection are surprisingly 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. This paper deals with the problem of distributing points… CONTINUE READING