论文标题
Minkowski维度的措施
Minkowski dimension for measures
论文作者
论文摘要
本文的目的是介绍和激励Minkowski(或Box)维度的概念以进行措施。该定义很简单,并填补了有关措施维度理论的现有文献中的空白。正如术语所建议的那样,我们表明它可以用来表征紧凑型公制空间的Minkowski维度。我们还研究了它与维度理论中其他概念的关系。
The purpose of this article is to introduce and motivate the notion of Minkowski (or box) dimension for measures. The definition is simple and fills a gap in the existing literature on the dimension theory of measures. As the terminology suggests, we show that it can be used to characterise the Minkowski dimension of a compact metric space. We also study its relationship with other concepts in dimension theory.