Hyperuniform point sets on the sphere: probabilistic aspects

J. S. Brauchart, P. J. Grabner*, W. B. Kusner, J. Ziefle

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The concept of hyperuniformity has been introduced by Torquato and Stillinger in 2003 as a notion to detect structural behaviour intermediate between crystalline order and amorphous disorder. The present paper studies a generalisation of this concept to the unit sphere. It is shown that several well studied determinantal point processes are hyperuniform.

Original languageEnglish
Pages (from-to)763–781
Number of pages19
JournalMonatshefte für Mathematik
Issue number4
Publication statusPublished - 1 Aug 2020


  • Determinantal point processes
  • Hyperuniformity
  • Jittered sampling

ASJC Scopus subject areas

  • Mathematics(all)


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