The projective ensemble and distribution of points in odd-dimensional spheres
Classical Analysis and ODEs
2017-03-02 v1 Probability
Abstract
We define a determinantal point process on the complex projective space that reduces to the so-called spherical ensemble for complex dimension 1 under identification of the 2-sphere with the Riemann sphere. Through this determinantal point process we propose a point processs in odd-dimensional spheres that produces fairly well-distributed points, in the sense that the expected value of the Riesz 2-energy for these collections of points is smaller than all previously known bounds.
Cite
@article{arxiv.1703.00416,
title = {The projective ensemble and distribution of points in odd-dimensional spheres},
author = {Carlos Beltrán and Ujué Etayo},
journal= {arXiv preprint arXiv:1703.00416},
year = {2017}
}