31 citations · 113 across the 20 of their papers we have counts for
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Optimal asymptotic bounds for designs on manifolds
Bianca Gariboldi, Giacomo Gigante
We extend to the case of a -dimensional compact connected oriented Riemannian manifold the theorem of A. Bondarenko, D. Radchenko and M. Viazovska on the existence…
Asymptotically optimal cubature formulas on manifolds for prefixed weights
Martin Ehler, Ujué Etayo, Bianca Gariboldi +2
We propose a new extension of the proof of the Korevaar-Meyers conjecture by Bondarenko, Radchenko and Viazovska for cubature formulas with prefixed weights (we fix different weigh…
Variance of Lattice Point Counting in Thin Annuli
Leonardo Colzani, Bianca Gariboldi, Giacomo Gigante
We give asymptotic estimates of the variance of the number of integer points in translated thin annuli in any dimension.
Discrepancy for convex bodies with isolated flat points
Luca Brandolini, Leonardo Colzani, Bianca Gariboldi +2
We consider the discrepancy of the integer lattice with respect to the collection of all translated copies of a dilated convex body having a finite number of flat, possibly non-smo…