A generalization of the spherical ensemble to even-dimensional spheres

Etayo Rodríguez, Ujué; Beltrán Álvarez, Carlos

doi:10.1016/j.jmaa.2019.03.004

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Ujue Beltran Post 2019 ... (675.4Kb)

Identificadores

URI: http://hdl.handle.net/10902/18109

DOI: 10.1016/j.jmaa.2019.03.004

ISSN: 0022-247X

ISSN: 1096-0813

Fecha

2019-07

Derechos

Attribution-NoDerivatives 4.0 International

Publicado en

J. Math. Anal. Appl., Vol. 475, Iss. 2, Pag. 1073-1092 (2019)

Editorial

Academic Press Inc.

Enlace a la publicación

https://doi.org/10.1016/j.jmaa.2019.03.004

Palabras clave

Determinantal point processes

Riesz energy

Resumen/Abstract

In a recent article [1], Alishahi and Zamani discuss the spherical ensemble, a rotationally invariant determinantal point process on S2. In this paper we extend this process in a natural way to the 2d-dimensional sphere S2d. 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.

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