Federico Glaudo

activity

20182025

most citedFiner estimates on the 2-dimensional matching problem

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

math.CO2025

Simultaneous generating sets for flags

Federico Glaudo, Noah Kravitz, Chayim Lowen

We prove that any triple of complete flags in $R^{d}$ admits a common generating set of size $⌊ 5 d /3 ⌋$ and that this bound is sharp. This result extends the class…

math.CA2024

Besicovitch's 1/2 problem and linear programming

Camillo De Lellis, Federico Glaudo, Annalisa Massaccesi +1

We consider the following classical conjecture of Besicovitch: a $1$ -dimensional Borel set in the plane with finite Hausdorff $1$ -dimensional measure $H^{1}$ which has lowe…

math.CO2023

Reconstructing a set from its subset sums: $2$ -torsion-free groups

Federico Glaudo, Noah Kravitz

For a finite multiset $A$ of an abelian group $G$ , let $FS (A)$ denote the multiset of the $2^{∣ A ∣}$ subset sums of $A$ . It is natural to ask to what extent $A$ can be recons…

math.NT2023

On The Determination of Sets By Their Subset Sums

Andrea Ciprietti, Federico Glaudo

Let $A$ be a multiset with elements in an abelian group. Let $F S (A)$ be the multiset containing the $2^{∣ A ∣}$ sums of all subsets of $A$ . We study the reconstruction problem ``Give…

math.PR2019

On the optimal map in the 2-dimensional random matching problem

Luigi Ambrosio, Federico Glaudo, Dario Trevisan

We show that, on a $2$ -dimensional compact manifold, the optimal transport map in the semi-discrete random matching problem is well-approximated in the $L^{2}$ -norm by identity plus…

math.PR2018★ 1 cited

Finer estimates on the 2-dimensional matching problem

Luigi Ambrosio, Federico Glaudo

We study the asymptotic behaviour of the expected cost of the random matching problem on a $2$ -dimensional compact manifold, improving in several aspects the results of L. Ambrosio…