204 citations · 822 across the 60 of their papers we have counts for
61 papers
A set of points with optimal spherical cap discrepancy
Carlos Beltrán, Jordi Marzo, Joaquim Ortega-Cerdà
We introduce an explicit deterministic collection of spherical points, $\cP_N\subset\mathbb S^2$, that we call the {\em deterministic Diamond points}. For every we prov…
Functions of Bounded Variation and Point Processes
J. Antezana, M. Levi, J. Marzo +1
We investigate the relationship between the analytical properties of functions of bounded variation and the statistical behavior of hyperuniform point processes. We establish sever…
Stability of the generalized Wehrl entropy and the local concentration of homogeneous polynomials
María Ángeles García-Ferrero, Joaquim Ortega-Cerdà
We study two notions of concentration for homogeneous polynomials of degree in complex variables on the unit sphere: a local notion measuring the fraction of the -no…
Universality for fluctuations of counting statistics of random normal matrices
J. Marzo, L. D. Molag, J. Ortega-Cerdà
We consider the fluctuations of the number of eigenvalues of random normal matrices depending on a potential in a given set . These eigenvalues are known to form…
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…
Stability of the concentration inequality on polynomials
María Ángeles García-Ferrero, Joaquim Ortega-Cerdà
In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a…