  In a recent article, Alishahi and Zamani discuss the spherical ensemble, a
rotationally invariant determinantal point process on the 2-sphere. 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.

Probability