3 papers
math.NT2026
Jittered sampling and probability measures
Roberto Bramati, Luca Brandolini, Giancarlo Travaglini
This paper investigates the discrepancy of a family of random sampling methods obtained by perturbing the grid , where …
math.CA2026
Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study
Roberto Bramati, Luca Brandolini, Alessandro Monguzzi
We study -averaged discrepancies of finite sequences of points in the torus with respect to translated and dilated copies of convex bodies with non-smooth bound…
math.AP2025
Periodic layer potentials and domain perturbations
Roberto Bramati, Matteo Dalla Riva, Paolo Luzzini +1
In this paper, we review the construction of periodic fundamental solutions and periodic layer potentials for various differential operators. Specifically, we focus on the Laplace…