A generalization of the spherical ensemble to even-dimensional spheres

Maria de Ujue Etayo Rodriguez, Carlos Beltran

Publikation: Beitrag in einer FachzeitschriftArtikel

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.
Originalspracheenglisch
Seiten (von - bis)1073-1092
Seitenumfang19
FachzeitschriftJournal of Mathematical Analysis and Applications
Jahrgang475
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - 15 Jul 2019
Extern publiziertJa

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