A note on the existence of sequences with small star discrepancy

Josef Dick

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A note on the existence of sequences with small star discrepancy

机译：关于存在小恒星差异的序列的注释

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It was shown by Heinrich et al. [The inverse of the star-discrepancy depends linearly on the dimension, Acta Arith. 96 (2001) 279-302] that there exist point sets for which the inverse of the star discrepancy depends linearly on the dimension. In this paper we extend those results by showing that there exist point sets extensible in the modulus and the dimension for which the star discrepancy satisfies a tractability bound for all dimensions and moduli.

机译：Heinrich等人证明了这一点。 [星散度的倒数线性取决于尺寸Acta Arith。 96（2001）279-302]中存在星点差异的倒数与维数线性相关的点集。在本文中，我们通过显示存在模数和维数可扩展的点集来扩展这些结果，对于所有维数和模量，恒星差异满足点集的可延展性。

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《Journal of complexity》 |2007年第6期|p.649-652|共4页
作者
Josef Dick;
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作者单位

UNSW Asia, I Kay Siang Road, Singapore 248922, Singapore;

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原文格式 PDF
正文语种 eng
中图分类数理科学和化学;
关键词
star discrepancy; tractability; sequence;

机译：恒星差异;可延展性;序列;

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A note on the existence of sequences with small star discrepancy

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