The Diamond ensemble: A constructive set of spherical points with small logarithmic energy

Abstract: We define a family of random sets of points, the Diamond ensemble, on the sphere S2 depending on several parameters. Its most important property is that, for some of these parameters, the asymptotic expected value of the logarithmic energy of the points can be computed rigorously and shown to attain very small values, quite close to the conjectured minimal value.

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 Fuente: Journal of Complexity 59 (2020) 101471

Editorial: Academic Press Inc.

 Año de publicación: 2020

Nº de páginas: 22

Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.jco.2020.101471

ISSN: 0885-064X,1090-2708

Proyecto español: MTM2017-83816-P ; MTM2017-90682-REDT

Url de la publicación: https://doi.org/10.1016/j.jco.2020.101471