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math.PR2026
Random points on with small logarithmic energy
Ujué Etayo, Pablo G. Arce
We analyse several constructions of random point sets on the sphere evaluating and comparing them through their discrete logarithmic energy: \be…
math.PR2018
A generalization of the spherical ensemble to even-dimensional spheres
Carlos Beltrán, Ujué Etayo
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…