The Diamond ensemble: A constructive set of spherical points with small logarithmic energy
Ver/ Abrir
Registro completo
Mostrar el registro completo DCFecha
2020Derechos
© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publicado en
Journal of Complexity 59 (2020) 101471
Editorial
Academic Press Inc.
Enlace a la publicación
Palabras clave
Minimal logarithmic energy
Constructive spherical points
Resumen/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.
Colecciones a las que pertenece
- D30 Artículos [72]
- D30 Proyectos de Investigación [83]