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math.CA2023
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…
math.FA2023
Discrepancy and approximation of absolutely continuous measures with atomic measures
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
We prove several results concerning the discrepancy, tested on balls in the -dimensional torus , between absolutely continuous measures and finite atomic measure…