Torre Estévez, Víctor de laMarzo Sánchez, Jordi2026-02-202026-02-202024-04-120176-4276https://hdl.handle.net/2445/227149In 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.35 p.application/pdfengcc by (c) Víctor de la Torre Estévez, 2024http://creativecommons.org/licenses/by/4.0/Processos de MarkovTeoria del potencial (Matemàtica)Geometria convexaMarkov processesPotential theory (Mathematics)Convex geometryinfo:eu-repo/semantics/article7519872026-02-20info:eu-repo/semantics/openAccess