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A generalization of the spherical ensemble to even-dimensional spheres

Abstract: In a recent article [1], Alishahi and Zamani discuss the spherical ensemble, a rotationally invariant determinantal point process on S2. In this paper we extend this process in a natural way to the 2d-dimensional sphere S2d. We prove that the expected value of the Riesz s-energy associated to this determinantal point process has a reasonably low value compared to the known asymptotic expansion of the minimal Riesz s-energy.

 Fuente: Journal of Mathematical Analysis and Applications Vol. 475, Iss. 2 (2019), Pag. 1073-1092

 Editorial: Academic Press Inc.

 Fecha de publicación: 01/07/2019

 Nº de páginas: 27

 Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.jmaa.2019.03.004

 ISSN: 0022-247X,1096-0813

 Proyecto español: MTM2017-83816-P

 Url de la publicación: https://doi.org/10.1016/j.jmaa.2019.03.004