External Fields and Uniform Distribution in Squares and Cubes

Activity: Talk or presentationPoster presentationScience to science


Points in the unit cube in Rd that maximize, say, the sum of all mutual Euclidean distances, or minimize, say, their potential energy (harmonic kernel), are located at the boundary of the unit cube. This phenomenon is a consequence of classical potential theory. We introduce suitable external fields to obtain a uniform distribution over the unit cube of optimal configurations for
the corresponding "energy functional".
Period11 Sept 201913 Sept 2019
Event titleHDA2019: 8th Workshop on High-Dimensional Approximation
Event typeWorkshop
LocationZurich, SwitzerlandShow on map
Degree of RecognitionInternational

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)