dc.contributor.author
Torre, V.D.L.
dc.contributor.author
Marzo, J.
dc.date.accessioned
2024-05-06T10:28:55Z
dc.date.accessioned
2024-09-19T14:26:51Z
dc.date.available
2024-05-06T10:28:55Z
dc.date.available
2024-09-19T14:26:51Z
dc.date.issued
2024-04-12
dc.identifier.uri
http://hdl.handle.net/2072/537566
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. © The Author(s) 2024.
eng
dc.description.sponsorship
The authors have been partially supported by Grant MTM2017-83499-P by the Ministerio de Ciencia, Innovaci\u00F3n y Universidades, Gobierno de Espa\u00F1a and by the Generalitat de Catalunya (Project 2017 SGR 358).
dc.format.extent
35 p.
cat
dc.publisher
Springer
cat
dc.relation.ispartof
Constructive Approximation
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Asymptotics for energy minimizing Configurations; Elliptic polynomials; Point processes on the sphere; Random polynomials; Riesz energy
cat
dc.title
Expected Energy of Zeros of Elliptic Polynomials
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s00365-024-09684-2
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
