6 papers
A sharp Bombieri inequality, logarithmic energy and well conditioned polynomials
Ujué Etayo
In this paper we explore the connections between minimizers of the discrete logarithmic energy on the 2-dimensional sphere, univariate polynomials with optimal condition number in…
Spherical cap discrepancy of the Diamond ensemble
Ujué Etayo
We compute the spherical cap discrepancy of the Diamond ensemble (a set of evenly distributed spherical points) as well as some other quantities. We also define an area regular par…
Asymptotically optimal cubature formulas on manifolds for prefixed weights
Martin Ehler, Ujué Etayo, Bianca Gariboldi +2
We propose a new extension of the proof of the Korevaar-Meyers conjecture by Bondarenko, Radchenko and Viazovska for cubature formulas with prefixed weights (we fix different weigh…
The Diamond ensemble: a constructive set of points with small logarithmic energy
Carlos Beltrán, Ujué Etayo
We define a family of random sets of points, the Diamond ensemble, on the sphere depending on several parameters. Its most important property is that, for some of…
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…
The projective ensemble and distribution of points in odd-dimensional spheres
Carlos Beltrán, Ujué Etayo
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-spher…