| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5127995 | Mathematics and Computers in Simulation | 2018 | 5 Pages |
Abstract
We consider the volume of the largest axis-parallel box in the d-dimensional torus that contains no point of a given point set Pn with n elements. We prove that, for all natural numbers d,n and every point set Pn, this volume is bounded from below by min{1,d/n}. This implies the same lower bound for the discrepancy on the torus.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Mario Ullrich,