Star discrepancy estimates for digital (t, m, 2)-nets and digital (t, 2)-sequences over Z2

被引：2

作者：

Dick, J ^{[1
]}

Kritzer, P

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

[2] Salzburg Univ, Dept Math, A-5020 Salzburg, Austria

来源：

ACTA MATHEMATICA HUNGARICA | 2005年 / 109卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

digital; (t; m; s)-nets; s)-sequences; star discrepancy;

D O I：

10.1007/s10474-005-0243-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove upper bounds on the star discrepancy of digital (t, M, 2)-nets and (t, 2)-sequences over Z(2). The main tool is a decomposition lemma for digital (t, m, 2)-nets, which states that every digital (t, m, 2)-net is just the union of 2(t) digitally shifted digital (0, m - t, 2)-nets. Using this result we generalize upper bounds on the star discrepancy of digital (0, m, 2)-nets and (0, 2)-sequences.

引用

页码：239 / 254

页数：16

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