13 citations · 32 across the 13 of their papers we have counts for
7 papers · 1 filter
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…
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…
Linear statistics of determinantal point processes and norm representations
Matteo Levi, Jordi Marzo, Joaquim Ortega-Cerdà
We study the asymptotic behavior of the fluctuations of smooth and rough linear statistics for determinantal point processes on the sphere and on the Euclidean space. The main tool…
A monotonicity theorem for subharmonic functions on manifolds
Aleksei Kulikov, Fabio Nicola, Joaquim Ortega-Cerdà +1
We provide a sharp monotonicity theorem about the distribution of subharmonic functions on manifolds, which can be regarded as a new, measure theoretic form of the uncertainty prin…