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 Detalle_Publicacion

Spherical cap discrepancy of the Diamond ensemble

Abstract: In Beltrán and Etayo (J. Complexity 59, # 101471 (2020)) the authors presented a family of points on the sphere S2 depending on many parameters, called the Diamond ensemble. In this paper we compute the spherical cap discrepancy of the Diamond ensemble as well as some other quantities. We also define an area regular partition on the sphere where each region contains exactly one point of the set. For a concrete choice of parameters, we prove that the Diamond ensemble provides the best spherical cap discrepancy, known until now for a deterministic family of points.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Discrete and Computational Geometry, 2021, 6(4), 1218-1238

Editorial: Springer New York LLC

 Fecha de publicación: 01/12/2021

Nº de páginas: 21

Tipo de publicación: Artículo de Revista

 DOI: 10.1007/s00454-021-00305-4

ISSN: 0179-5376,1432-0444

Proyecto español: MTM2017-83816-P

Url de la publicación: https://doi.org/10.1007/s00454-021-00305-4