Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials

By D. Armentano, C. Beltrán, M. Shub. 2011

46 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ba675bb218d0c2511c960ccda59add63b0107203