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dc.contributor.authorMas Blesa, Albert
dc.contributor.authorMarzo Sánchez, Jordi
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-09-30T11:52:50Z
dc.date.available2022-04-08T00:28:56Z
dc.date.issued2021-04-08
dc.identifier.citationMas, A.; Marzo, J. Discrepancy of minimal riesz energy points. "Constructive Approximation", 8 Abril 2021, p. 1-34.
dc.identifier.issn1432-0940
dc.identifier.urihttp://hdl.handle.net/2117/352747
dc.description.abstractWe find upper bounds for the spherical cap discrepancy of the set of minimizers of the Riesz s-energy on the sphere Sd. Our results are based on bounds for a Sobolev discrepancy introduced by Thomas Wolff in an unpublished manuscript where estimates for the spherical cap discrepancy of the logarithmic energy minimizers in S2 were obtained. Our result improves previously known bounds for 0=s<2 and s¿1 in S2, where s=0 is Wolff’s result, and for d-t0<s<d with t0˜2.5 when d=3 and s¿d-1.
dc.format.extent34 p.
dc.language.isoeng
dc.publisherSpringer Nature
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.titleDiscrepancy of minimal riesz energy points
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
dc.identifier.doi10.1007/s00365-021-09534-5
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs00365-021-09534-5
dc.rights.accessOpen Access
local.identifier.drac31720437
dc.description.versionPostprint (author's final draft)
local.citation.authorMas, A.; Marzo, J.
local.citation.publicationNameConstructive Approximation
local.citation.startingPage1
local.citation.endingPage34


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