Embedded Files
Publications
Publications
11. Low energy points on the sphere and the real projective plane, C. Beltrán, U. Etayo and P. R. López-Gómez, Journal of Complexity 101742, 2023.
10. Asymptotically optimal cubature formulas on manifolds for prefixed weights, M. Ehler, U. Etayo, B. Gariboldi, G. Gigante and T. Peter, Journal of Approximation Theory 271, 105632, 2021.
9. Spherical cap discrepancy of the Diamond ensemble, U. Etayo, Discretete & Computational Geometry, 66, 4, 1218-1238, 2021.
8. A sharp Bombieri inequality, logarithmic energy and well conditioned polynomials, U. Etayo, Transactions of the American Mathematical Society, 374, 7, 5113-5129, 2021.
I was awarded with the Best Poster Award in the Bymat 2020 conference.
7. A sequence of polynomials with optimal condition number, C. Beltrán, U. Etayo, J. Marzo and J. Ortega-Cerdà, Journal of the American Mathematical Society 34, 1, 219-244, 2021.
6. The Diamond ensemble: a constructive set of points with small logarithmic energy, C. Beltrán and U. Etayo, Journal of Complexity 59, 101471, 2020.
5. The Diamond ensemble: a well distributed family of points on S2, C. Beltrán and U. Etayo, 13th International conference on Sampling Theory and Applications (SampTA), Bordeaux, France, pp. 1-4, 2019.
4. A generalization of the spherical ensemble to even-dimensional spheres, C. Beltrán and U. Etayo, Journal of Mathematical Analysis and Applications 475, 2, 1073-1092, 2019.
3. The Projective Ensemble and Distribution of Points in Odd-Dimensional Spheres, C. Beltrán and U. Etayo, Constructive Approximation 48, 1, 163–182, 2018.
2. Asymptotically optimal designs on compact algebraic manifolds, U. Etayo, J. Marzo and J. Ortega-Cerdà, Monatshefte für Mathematik 186, 2, 235–248, 2018
1. Aspectos computacionales de la Descomposición Primaria, U. Etayo, Gaceta de la Real Sociedad Matemática Española 18, 2, 337–351, 2015.
Preprints
Preprints
2. A Bombieri-type inequality and equidistribution of points, U. Etayo, H. Hedenmalm and J. Ortega-Cerdà, https://arxiv.org/abs/2507.20303, 2025.
Minimal Riesz and logarithmic energies on the Grassmannian Gr(2,4), U. Etayo and P. López-Gómez, arXiv:2501.00424, 2024.
Thesis
Thesis
4. PhD Thesis El problema de la distribución de puntos en la esfera, under the supervision of professor Carlos Beltrán in Universidad de Cantabria, 2019.
Juan G. Criado del Rey and I won a price for this video, where we explain our research while PhD students.
3. Master Thesis 5 electrones, under the supervision of professor Carlos Beltrán in Universidad de Cantabria, 2015.
I was awarded with the price for the best poster in the Congreso de jóvenes investigadores RSME, 2015.
2. Grade Thesis Aspectos computacionales de la descomposición primaria, under the supervision of professor Philippe Gimenez in Universidad de Valladolid , 2014.
Master Thesis Courbes Elliptiques et Cryptographie under the supervision of professor Guillermo Moreno-Socias in Université de Versailles Saint Quentin en Yvelines, 2013.
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