Expected Energy of Zeros of Elliptic Polynomials
| dc.contributor.author | Torre Estévez, Víctor de la | |
| dc.contributor.author | Marzo Sánchez, Jordi | |
| dc.date.accessioned | 2026-02-20T12:46:52Z | |
| dc.date.available | 2026-02-20T12:46:52Z | |
| dc.date.issued | 2024-04-12 | |
| dc.date.updated | 2026-02-20T12:46:52Z | |
| dc.description.abstract | In 2011, Armentano, Beltrán and Shub obtained a closed expression for the expected logarithmic energy of the random point process on the sphere given by the roots of random elliptic polynomials. We consider a different approach which allows us to extend the study to the Riesz energies and to compute the expected separation distance. | |
| dc.format.extent | 35 p. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.idgrec | 751987 | |
| dc.identifier.issn | 0176-4276 | |
| dc.identifier.uri | https://hdl.handle.net/2445/227149 | |
| dc.language.iso | eng | |
| dc.publisher | Springer Science + Business Media | |
| dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1007/s00365-024-09684-2 | |
| dc.relation.ispartof | Constructive Approximation, 2024, vol. 61, p. 445-479 | |
| dc.relation.uri | https://doi.org/10.1007/s00365-024-09684-2 | |
| dc.rights | cc by (c) Víctor de la Torre Estévez, 2024 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | |
| dc.subject.classification | Processos de Markov | |
| dc.subject.classification | Teoria del potencial (Matemàtica) | |
| dc.subject.classification | Geometria convexa | |
| dc.subject.other | Markov processes | |
| dc.subject.other | Potential theory (Mathematics) | |
| dc.subject.other | Convex geometry | |
| dc.title | Expected Energy of Zeros of Elliptic Polynomials | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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