Improving a constant in high-dimensional discrepancy estimates
Improving a constant in high-dimensional discrepancy estimates
复制标题
改进高维差异估计中的常数
DOI：
10.2298/pim2021067p
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Christian Weiss
中科院分区：
文献类型：
--
作者：
Hendrik Pasing;Christian Weiss
对所有人？1和N ？1存在序列(z1，…， zN) in [0,1]s
For all s ? 1 and N ? 1 there exist sequences (z1,..., zN) in [0, 1]s
such that the star-discrepancy of these points can be bounded by D* N(z1,..., zN) ? c ?s/?N . In practice it is desirable to obtain low values of c.
The best known value for the constant is c = 10 as has been calculated by
Aistleitner. In this paper we improve the bound to c = 9.