5 papers · 1 filter
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…
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…
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…
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…