18 citations · 33 across the 10 of their papers we have counts for
13 papers
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…
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…
A Bombieri-type inequality and equidistribution of points
Ujué Etayo, Haakan Hedenmalm, Joaquim Ortega-Cerdà
In recent work, Etayo introduces a new Bombieri-type inequality for monic polynomials. Here we reinterpret this new inequality as a more general integral inequality involving the G…
Minimal Riesz and logarithmic energies on the Grassmannian
Ujué Etayo, Pedro R. López-Gómez
We study the Riesz and logarithmic energies on the Grassmannian of -dimensional subspaces of . We prove that the continuous Riesz and log…
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 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…
A sequence of polynomials with optimal condition number
Carlos Beltrán, Ujué Etayo, Jordi Marzo +1
We find an explicit sequence of univariate polynomials of arbitrary degree with optimal condition number. This solves a problem posed by Michael Shub and Stephen Smale in 1993.
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…
Asymptotically optimal designs on compact algebraic manifolds
Ujué Etayo, Jordi Marzo, Joaquim Ortega-Cerdà
We find t-designs on compact algebraic manifolds with a number of points comparable to the dimension of the space of polynomials of degree t on the manifold. This generalizes resul…