A generalization of the spherical ensemble to even-dimensional spheres

Etayo Rodríguez, Ujué; Beltrán Álvarez, Carlos

doi:10.1016/j.jmaa.2019.03.004

dc.contributor.author	Etayo Rodríguez, Ujué
dc.contributor.author	Beltrán Álvarez, Carlos
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2020-02-07T15:01:20Z
dc.date.available	2021-08-01T02:45:21Z
dc.date.issued	2019-07
dc.identifier.issn	0022-247X
dc.identifier.issn	1096-0813
dc.identifier.other	MTM2017-83816-P ; MTM2017-90682-REDT	es_ES
dc.identifier.uri	http://hdl.handle.net/10902/18109
dc.description.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.	es_ES
dc.format.extent	27 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Academic Press Inc.	es_ES
dc.rights	Attribution-NoDerivatives 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by-nd/4.0/	*
dc.source	J. Math. Anal. Appl., Vol. 475, Iss. 2, Pag. 1073-1092 (2019)	es_ES
dc.subject.other	Determinantal point processes	es_ES
dc.subject.other	Riesz energy	es_ES
dc.title	A generalization of the spherical ensemble to even-dimensional spheres	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1016/j.jmaa.2019.03.004	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1016/j.jmaa.2019.03.004
dc.type.version	acceptedVersion	es_ES