Rice University Department of Mathematics Colloquium

Minimal Energy and Maximal Polarization

4:00 pm Thursday, February 11th, 2016
Edward Saff (Vanderbilt)

Abstract: This talk concerns minimal energy configurations as well as maximal polarization (Chebyshev) configurations on manifolds, which are problems that are asymptotically related to best-packing and best-covering. In particular, we discuss how to generate N points on a d-dimensional manifold that have the desirable qualities of well-separation and optimal order covering radius, while asymptotically having a specified distribution. Even for certain small numbers of points like N=5, optimal arrangements with regard to energy and polarization can be a challenging problem.

Return to Colloquium page