Expected Energy of Zeros of Elliptic Polynomials

dc.contributor.authorTorre Estévez, Víctor de la
dc.contributor.authorMarzo Sánchez, Jordi
dc.date.accessioned2026-02-20T12:46:52Z
dc.date.available2026-02-20T12:46:52Z
dc.date.issued2024-04-12
dc.date.updated2026-02-20T12:46:52Z
dc.description.abstractIn 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.extent35 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec751987
dc.identifier.issn0176-4276
dc.identifier.urihttps://hdl.handle.net/2445/227149
dc.language.isoeng
dc.publisherSpringer Science + Business Media
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1007/s00365-024-09684-2
dc.relation.ispartofConstructive Approximation, 2024, vol. 61, p. 445-479
dc.relation.urihttps://doi.org/10.1007/s00365-024-09684-2
dc.rightscc by (c) Víctor de la Torre Estévez, 2024
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.classificationProcessos de Markov
dc.subject.classificationTeoria del potencial (Matemàtica)
dc.subject.classificationGeometria convexa
dc.subject.otherMarkov processes
dc.subject.otherPotential theory (Mathematics)
dc.subject.otherConvex geometry
dc.titleExpected Energy of Zeros of Elliptic Polynomials
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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