Mario Ullrich

activity

20102023

most citedA sharp upper bound for sampling numbers in

L_{2}

53 citations · 640 across the 36 of their papers we have counts for

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2 papers · 1 filter

cs.CC2019

Deterministic constructions of high-dimensional sets with small dispersion

Mario Ullrich, Jan Vybíral

The dispersion of a point set $P \subset [0, 1]^{d}$ is the volume of the largest box with sides parallel to the coordinate axes, which does not intersect $P$ . Here, we show a construct…

cs.CC2015★ 28 cited

A lower bound for the dispersion on the torus

Mario Ullrich

We consider the volume of the largest axis-parallel box in the $d$ -dimensional torus that contains no point of a given point set $P_{n}$ with $n$ elements. We prove that, f…