A generalization of the spherical ensemble to even-dimensional spheres

Research output: Contribution to journalArticle

Abstract

In a recent article [1], Alishahi and Zamani discuss the spherical ensemble, a rotationally invariant determinantal point process on . In this paper we extend this process in a natural way to the 2d-dimensional sphere . We prove that the expected value of the Riesz s-energy associated to this determinantal point process has a reasonably low value compared to the known asymptotic expansion of the minimal Riesz s-energy.
Original languageEnglish
Pages (from-to)1073-1092
Number of pages19
JournalJournal of mathematical analysis and applications
Volume475
Issue number2
DOIs
Publication statusPublished - 15 Jul 2019
Externally publishedYes

Keywords

  • Determinantal point processes
  • Riesz energy

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