arXiv Open Access 2017

On the Dispersion of Sparse Grids

David Krieg
Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

Penulis (1)

D

David Krieg

Format Sitasi

Krieg, D. (2017). On the Dispersion of Sparse Grids. https://arxiv.org/abs/1709.02983

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2017
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓