On the Dispersion of Sparse Grids

David Krieg

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arXiv · 1709.02983

On the Dispersion of Sparse Grids

David Krieg

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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.

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David Krieg. 2017-09-09. On the Dispersion of Sparse Grids. https://arxiv.org/abs/1709.02983

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