In a recent article , 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.
- Determinantal point processes
- Riesz energy