G. Gigante

activity

20032026

most citedDiameter bounded equal measure partitions of Ahlfors regular metric measure spaces

31 citations · 113 across the 20 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.NA2015★ 31 cited

Diameter bounded equal measure partitions of Ahlfors regular metric measure spaces

Giacomo Gigante, Paul Leopardi

The algorithm devised by Feige and Schechtman for partitioning higher dimensional spheres into regions of equal measure and small diameter is combined with David and Christ's const…

math.NT2015★ 12 cited

$L^{p}$ and Weak- $L^{p}$ estimates for the number of integer points in translated domains

Luca Brandolini, Leonardo Colzani, Giacomo Gigante +1

Revisiting and extending a recent result of M.Huxley, we estimate the $L^{p} (T^{d})$ and Weak- $L^{p} (T^{d})$ norms of the discrepancy be…

math.NT2015

Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus

Luca Brandolini, Leonardo Colzani, Giacomo Gigante +1

We produce explicit low-discrepancy infinite sequences which can be used to approximate the integral of a smooth periodic function restricted to a convex domain with positive curva…

Diameter bounded equal measure partitions of Ahlfors regular metric measure spaces

Lp and Weak-Lp estimates for the number of integer points in translated domains

Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus

$L^{p}$ and Weak- $L^{p}$ estimates for the number of integer points in translated domains