The Diamond ensemble: A constructive set of spherical points with small logarithmic energy

Beltrán Álvarez, Carlos; Etayo Rodríguez, Ujué

doi:10.1016/j.jco.2020.101471

dc.contributor.author	Beltrán Álvarez, Carlos
dc.contributor.author	Etayo Rodríguez, Ujué
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2021-02-23T15:19:36Z
dc.date.available	2022-09-03T11:25:41Z
dc.date.issued	2020
dc.identifier.issn	0885-064X
dc.identifier.issn	1090-2708
dc.identifier.other	MTM2017-83816-P	es_ES
dc.identifier.other	MTM2017-90682-REDT	es_ES
dc.identifier.other	21.SI01.64658	es_ES
dc.identifier.uri	http://hdl.handle.net/10902/20784
dc.description.abstract	We define a family of random sets of points, the Diamond ensemble, on the sphere S2 depending on several parameters. Its most important property is that, for some of these parameters, the asymptotic expected value of the logarithmic energy of the points can be computed rigorously and shown to attain very small values, quite close to the conjectured minimal value.	es_ES
dc.description.sponsorship	This research has been partially supported by Ministerio de Economía y Competitividad, Gobierno de España, through grants MTM2017-83816-P, MTM2017-90682-REDT, and by the Banco de Santander and Universidad de Cantabria grant 21.SI01.64658.	es_ES
dc.format.extent	22 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Academic Press Inc.	es_ES
dc.rights	© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.source	Journal of Complexity 59 (2020) 101471	es_ES
dc.subject.other	Minimal logarithmic energy	es_ES
dc.subject.other	Constructive spherical points	es_ES
dc.title	The Diamond ensemble: A constructive set of spherical points with small logarithmic energy	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1016/j.jco.2020.101471	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1016/j.jco.2020.101471
dc.type.version	acceptedVersion	es_ES