The Diamond ensemble: A constructive set of spherical points with small logarithmic energy

Maria de Ujue Etayo Rodriguez*, Carlos Beltran

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We define a family of random sets of points, the Diamond ensemble, on the sphere S2 depending on several parameters. Its most important property is that, for some of these parameters, the asymptotic expected value of the logarithmic energy of the points can be computed rigorously and shown to attain very small values, quite close to the conjectured minimal value.
Original languageEnglish
Article number101471
Number of pages22
JournalJournal of Complexity
Volume59
DOIs
Publication statusPublished - Aug 2020

Keywords

  • Constructive spherical points
  • Minimal logarithmic energy

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics
  • Mathematics(all)
  • Numerical Analysis
  • Algebra and Number Theory
  • Statistics and Probability

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