External Fields and Uniform Distribution in Squares and Cubes

Publikation: KonferenzbeitragPoster

Abstract

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".
Originalspracheenglisch
Seitenumfang1
PublikationsstatusVeröffentlicht - 11 Sep 2019
VeranstaltungHDA2019: 8th Workshop on High-Dimensional Approximation - ETH Zurich, Zurich, Schweiz
Dauer: 9 Sep 201913 Sep 2019
https://math.ethz.ch/sam/news-and-events/conferences-and-workshops/archive/8th-workshop-on-high-dimensional-approximation.html

Workshop

WorkshopHDA2019: 8th Workshop on High-Dimensional Approximation
KurztitelHDA 2019
LandSchweiz
OrtZurich
Zeitraum9/09/1913/09/19
Internetadresse

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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