Seminario: Minimal Energy and Maximal Polarization

Giovedì 22 Ottobre 2015, ore 16:00 - Aula 2BC30 - Edward Saff



Giovedì 22 Ottobre 2015 alle ore 16:00 in Aula 2BC30, Edward Saff (Vanderbilt University) terrà un seminario dal titolo "Minimal Energy and Maximal Polarization".

This talk concerns minimal energy configurations as well 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 uniform distribution. Even for certain small numbers of points like N=5, optimal arrangements with regard to energy and polarization can be a challenging problem.