14 citations · 18 across the 10 of their papers we have counts for
15 papers
The Pearl ensemble and the logarithmic energy on the Sphere
Bianca Gariboldi, Giacomo Gigante
We define a family of random sets of points on the sphere , the Pearl ensemble, depending on several parameters. The expected value of the logarithmic energy can be co…
Sampling theorems for inverse problems on Riemannian manifolds
Giovanni S. Alberti, Ernesto De Vito, Bianca Gariboldi +1
We consider inverse problems consisting of the reconstruction of an unknown signal from noisy measurements , where is a function on a Riemannian manifol…
Single radius spherical cap discrepancy on compact two-point homogeneous spaces
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante +1
In this note we study estimates from below of the single radius spherical discrepancy in the setting of compact two-point homogeneous spaces. Namely, given a -dimensional manifo…
On the speed of convergence in the ergodic theorem for shift operators
Nikolaos Chalmoukis, Leonardo Colzani, Bianca Gariboldi +1
Given a probability space , a square integrable function on such space and a (unilateral or bilateral) shift operator , we prove under suitable assumptions that the e…
On a discrete approach to lower bounds in discrepancy theory
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante +1
In this paper, we prove that some renowned lower bounds in discrepancy theory admit a discrete analogue. Namely, we prove that the lower bound of the discrepancy for corners in the…
Summability and speed of convergence in an ergodic theorem
Leonardo Colzani, Bianca M. Gariboldi, Alessandro Monguzzi
Given an irrational vector in , a continuous function on the torus and suitable weights such that $\sum_{n=-\infty}^{+\infty}Φ(…
Irregularities of distribution on two point homogeneous spaces
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante
We study the irregularities of distribution on two-point homogeneous spaces. Our main result is the following: let be the real dimension of a two point homogeneous space $\math…
Almost positive kernels on compact Riemannian manifolds
Bianca Gariboldi, Giacomo Gigante
We show how to build a kernel \[ K_X(x,y)=\sum_{m=0}^Xh(λ_m/{λ_X})φ_m(x)\overline{φ_m(y)} \] on a compact Riemannian manifold , which is positive up to a negligible error and su…
On a sharp lemma of Cassels and Montgomery on manifolds
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante
Let be a -dimensional compact connected Riemannian manifold and let be a complete sequence of orthonormal…
Discrepancy of a convex set with zero curvature at one point
Bianca Gariboldi
Let be a convex body with everywhere positive curvature except at the origin and with the boundary as the graph of the function in…
Optimal asymptotic bounds for designs on manifolds
Bianca Gariboldi, Giacomo Gigante
We extend to the case of a -dimensional compact connected oriented Riemannian manifold the theorem of A. Bondarenko, D. Radchenko and M. Viazovska on the existence…
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…
Variance of Lattice Point Counting in Thin Annuli
Leonardo Colzani, Bianca Gariboldi, Giacomo Gigante
We give asymptotic estimates of the variance of the number of integer points in translated thin annuli in any dimension.
Discrepancy for convex bodies with isolated flat points
Luca Brandolini, Leonardo Colzani, Bianca Gariboldi +2
We consider the discrepancy of the integer lattice with respect to the collection of all translated copies of a dilated convex body having a finite number of flat, possibly non-smo…
Mixed norms of the lattice point discrepancy
Leonardo Colzani, Bianca Gariboldi, Giacomo Gigante
We estimate some mixed norms of the discrepancy between the volume and the number of integer points in , a dilated by a factor and translated…