Abstract
In a recent article [1], Alishahi and Zamani discuss the spherical ensemble, a rotationally invariant determinantal point process on . In this paper we extend this process in a natural way to the 2d-dimensional sphere . 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.
Original language | English |
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Pages (from-to) | 1073-1092 |
Number of pages | 19 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 475 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Jul 2019 |
Externally published | Yes |
Keywords
- Determinantal point processes
- Riesz energy