| dc.contributor.author | Beltrán Álvarez, Carlos | |
| dc.contributor.author | Delgado, Antonia | |
| dc.contributor.author | Fernández, Lidia | |
| dc.contributor.author | Sánchez-Lara, Joaquín | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2024-02-26T15:10:55Z | |
| dc.date.available | 2024-02-26T15:10:55Z | |
| dc.date.issued | 2024-01 | |
| dc.identifier.issn | 0926-2601 | |
| dc.identifier.issn | 1572-929X | |
| dc.identifier.other | PID2020-113887GB-I00 | es_ES |
| dc.identifier.other | MTM2017-83816-P ; MTM2017-90682-REDT | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/31926 | |
| dc.description.abstract | In this paper we compute the logarithmic energy of points in the unit interval [-1,1] chosen from different Gegenbauer Determinantal Point Processes. We check that all the different families of Gegenbauer polynomials yield the same asymptotic result to third order, we compute exactly the value for Chebyshev polynomials and we give a closed expression for the minimal possible logarithmic energy. The comparison suggests that DPPs cannot match the value of the minimum beyond the third asymptotic term. | es_ES |
| dc.description.sponsorship | CB was partially supported by grants PID2020-113887GB-I00, MTM2017-83816-P and MTM2017-90682-REDT funded by MCIN/ AEI /10.13039/501100011033, and by Banco de Santander and Universidad de Cantabria grant 21.SI01.64658. AD and LF were partially supported by FEDER/Junta de Andalucía A-FQM-246-UGR20; grant PGC2018-094932-B-I00 and IMAG-María de Maeztu grant CEX2020-001105-M both funded by MCIN/ AEI /10.13039/501100011033 and FEDER funds. JSL was partially supported by FEDER/Junta de Andalucía A-FQM-246-UGR20; grant MTM2015-71352-P funded by MINECO; and IMAG-María de Maeztu grant CEX2020-001105-M funded by MCIN/ AEI /10.13039/501100011033 and FEDER funds. | es_ES |
| dc.format.extent | 34 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer Nature | es_ES |
| dc.rights | © 2022, The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.source | Potential Analysis, 2024, 60(1), 139-172 | es_ES |
| dc.subject.other | Determinantal point processes | es_ES |
| dc.subject.other | Fekete points | es_ES |
| dc.subject.other | Gegenbauer polynomials | es_ES |
| dc.subject.other | Point distributions | es_ES |
| dc.title | On gegenbauer point processes on the unit interval | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1007/s11118-022-10045-6 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1007/s11118-022-10045-6 | |
| dc.type.version | publishedVersion | es_ES |
Excepto si se señala otra cosa, la licencia del ítem se describe como © 2022, The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
