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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.CA2026
Quadratic discrepancy estimates for probability measures on the Heisenberg group
Luca Brandolini, Alessandro Monguzzi, Matteo Monti
We initiate the study of quadratic discrepancy for finite point sets on the Heisenberg group with respect to upper Ahlfors regular probability measures. For a natural…
math.CA2025
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…