14 citations · 37 across the 15 of their papers we have counts for
20 papers
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 …
Irregularities of distribution and Fourier transforms of multi-dimensional convex bodies
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
W. Schmidt, H. Montgomery, and J. Beck proved a result on irregularities of distribution with respect to -dimensional balls. In this paper, we extend their result to any -dim…
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…
Irregularities of distribution for bounded sets and half-spaces
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
We prove a general result on irregularities of distribution for Borel sets intersected with bounded measurable sets or affine half-spaces.
Irregularities of distribution and geometry of planar convex sets
Luca Brandolini, Giancarlo Travaglini
We consider a planar convex body and we prove several analogs of Roth's theorem on irregularities of distribution. When is regardless of curvat…
An Euler-Maclaurin formula for polygonal sums
Luca Brandolini, Leonardo Colzani, Sinai Robins +1
We prove an Euler-Maclaurin formula for double polygonal sums and, as a corollary, we obtain approximate quadrature formulas for integrals of smooth functions over polygons with in…