Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898533 | Journal of Complexity | 2018 | 7 Pages |
Abstract
For εâ(0,1â2) and a natural number dâ¥2, let N be a natural number with Nâ¥29log2(d)log2(1âε)ε2.We prove that there is a set of N points in the unit cube [0,1]d, which intersects all axis-parallel boxes with volume ε. That is, the dispersion of this point set is bounded from above by ε.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mario Ullrich, Jan VybÃral,