论文标题
数字$（0，m，2）$ - 网的分散
Dispersion of digital $(0,m,2)$-nets
论文作者
论文摘要
我们研究数字$（0，m，2）$ - 网的分散;即，在此点集中最大的轴平行框的大小。数字网是一组重要的低划分点集。我们证明，对于某些数字网的某些子类，生成矩阵是三角形形式并计算特殊网络（例如Hammersley Point设置）的分散体。
We study the dispersion of digital $(0,m,2)$-nets; i.e. the size of the largest axes-parallel box within such point sets. Digital nets are an important class of low-discrepancy point sets. We prove tight lower and upper bounds for certain subclasses of digital nets where the generating matrices are of triangular form and compute the dispersion of special nets such as the Hammersley point set exactly.
