4 citations · 12 across the 9 of their papers we have counts for
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Measure-preserving mappings from the unit cube to some symmetric spaces
Carlos Beltrán, Damir Ferizović, Pedro R. López-Gómez
We construct measure-preserving mappings from the -dimensional unit cube to the -dimensional unit ball and the compact rank one symmetric spaces, namely the -dimensional s…
Lower bound for the Green energy of point configurations in harmonic manifolds
Carlos Beltrán, Víctor de la Torre, Fátima Lizarte
In this paper, we get the sharpest known to date lower bounds for the minimal Green energy of the compact harmonic manifolds of any dimension.
Low energy points on the sphere and the real projective plane
Carlos Beltrán, Ujué Etayo, Pedro R. López-Gómez
We present a generalization of a family of points on , the Diamond ensemble, containing collections of points on with very small logarithmic energy…
A lower bound for the logarithmic energy on and for the Green energy on
Carlos Beltrán, Fátima Lizarte
We show an alternative proof of the sharpest known lower bound for the logarithmic energy on the unit sphere . We then generalize this proof to get new lower bounds f…