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math.CA2026
A set of points with optimal spherical cap discrepancy
Carlos Beltrán, Jordi Marzo, Joaquim Ortega-Cerdà
We introduce an explicit deterministic collection of spherical points, $\cP_N\subset\mathbb S^2$, that we call the {\em deterministic Diamond points}. For every we prov…
math.CA2026
Discrepancy of determinantal point processes on compact, connected two-point homogeneous spaces
Carlos Beltrán, Ujué Etayo, Giacomo Gigante +2
We study the discrepancy of point sets generated by determinantal point processes on all compact, connected two-point homogeneous spaces, namely spheres and projective…
math.CA2021
On Gegenbauer Point Processes on the unit interval
Carlos Beltrán, Antonia M. Delgado, Lidia Fernández +1
In this note we compute the logarithmic energy of points in the unit interval chosen from different Gegenbauer Determinantal Point Processes. We check that all the differe…