While this question remains widely open, in this short note, we prove that the two-dimensional Sobol' sequence is not quasi-uniform. This result partially answers an unsolved problem of Sobol' and Shukhman (2007) in a negative manner.
翻译:尽管这个问题仍未得到广泛解答,但在这篇短文中,我们证明二维Sobol'序列不是准均匀的。这一结果部分否定了Sobol'和Shukhman(2007)提出的一个未解问题。