We improve known upper bounds for the minimal dispersion of a point set in the unit cube and its inverse in both the periodic and non-periodic settings. Some of our bounds are sharp up to logarithmic factors.

中文翻译：

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关于最小色散的评论

我们改进了单位立方体中点集的最小离散度的已知上限及其在周期性和非周期性设置中的倒数。我们的一些界限在对数因子上是锐利的。