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Low-energy points on the sphere and the real projective plane

dc.contributor.authorBeltrán Álvarez, Carlos 
dc.contributor.authorEtayo Rodríguez, Ujué 
dc.contributor.authorLópez Gómez, Pedro Ramón 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2024-02-26T15:28:34Z
dc.date.available2024-02-26T15:28:34Z
dc.date.issued2023-06
dc.identifier.issn0885-064X
dc.identifier.issn1090-2708
dc.identifier.otherPID2020-113887GB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/31928
dc.description.abstractWe present a generalization of a family of points on S², the Diamond ensemble, containing collections of N points on S² with very small logarithmic energy for all N∈N. We extend this construction to the real projective plane RP² and we obtain upper and lower bounds with explicit constants for the Green and logarithmic energy on this last space.es_ES
dc.description.sponsorshipThe authors have been supported by grant PID2020-113887GB-I00 funded by MCIN/AEI/ 10.13039/501100011033 . The second author has also been supported by the starting grant from FBBVA associated to the prize José Luis Rubio de Francia. The third author has also been supported by a predoctoral grant "Concepción Arenal" funded by Univ. Cantabria and by grant PRE2021-097772 funded by MCIN/AEI/ 10.13039/501100011033 and by "ESF Investing in your future".es_ES
dc.format.extent18 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rights© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).es_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceJournal of Complexity, 2023, 76, 101742es_ES
dc.subject.otherConstructive projective pointses_ES
dc.subject.otherConstructive spherical pointses_ES
dc.subject.otherMinimal Green energyes_ES
dc.subject.otherMinimal logarithmic energyes_ES
dc.titleLow-energy points on the sphere and the real projective planees_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.jco.2023.101742es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.jco.2023.101742
dc.type.versionpublishedVersiones_ES


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© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).Excepto si se señala otra cosa, la licencia del ítem se describe como © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).