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引用次数: 4
摘要
摘要本文讨论了[Car12]中构建的ls序列是否确实产生了一个新的低差异序列族。众所周知，当S = 0对应于van der Corput序列时，我们在这里证明了S = 1可以追溯到对称Kronecker序列，并且当S≥2时，这两种类型都不再发生。此外，我们的方法允许改进S = 1和L任意的差异界。
Abstract This paper addresses the question whether the LS-sequences constructed in [Car12] yield indeed a new family of low-discrepancy sequences. While it is well known that the case S = 0 corresponds to van der Corput sequences, we prove here that the case S = 1 can be traced back to symmetrized Kronecker sequences and moreover that for S ≥ 2 none of these two types occurs anymore. In addition, our approach allows for an improved discrepancy bound for S = 1 and L arbitrary.
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