A generalization of the spherical ensemble to even-dimensional spheres

Carlos Beltrán; Ujué Etayo

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arXiv · 1806.10535

A generalization of the spherical ensemble to even-dimensional spheres

Carlos Beltrán·Ujué Etayo

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Abstract

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.

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Carlos Beltrán, Ujué Etayo. 2018-06-27. A generalization of the spherical ensemble to even-dimensional spheres. https://arxiv.org/abs/1806.10535

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