Improving a Constant in High-Dimensional Discrepancy Estimates

Abstract

For all s ≥ 1 and N ≥ 1 there exist sequences (z 1 , . . . , z N ) in [0, 1] s such that the star-discrepancy of these points can be bounded byThe best known value for the constant is c = 10 as has been calculated by Aistleitner in [Ais11]. In this paper we improve the bound to c = 9.