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On the Dispersion of Sparse Grids (1709.02983v1)
Published 9 Sep 2017 in cs.CG and math.NA
Abstract: For any natural number $d$ and positive number $\varepsilon$, we present a point set in the $d$-dimensional unit cube $[0,1]d$ that intersects every axis-aligned box of volume greater than $\varepsilon$. These point sets are very easy to handle and in a vast range for $\varepsilon$ and $d$, we do not know any smaller set with this property.