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math.CA2026
The Pearl ensemble and the logarithmic energy on the Sphere
Bianca Gariboldi, Giacomo Gigante
We define a family of random sets of points on the sphere , the Pearl ensemble, depending on several parameters. The expected value of the logarithmic energy can be co…
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…