On the Dispersion of Sparse Grids

09/09/2017

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by   David Krieg, et al.

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For any natural number d and positive number ε, we present a point set in the d-dimensional unit cube [0,1]^d that intersects every axis-aligned box of volume greater than ε. These point sets are very easy to handle and in a vast range for ε and d, we do not know any smaller set with this property.