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arXiv · 2001.07055

Minkowski dimension for measures

Kenneth J. Falconer·Jonathan M. Fraser·Antti Käenmäki
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Abstract

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.

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BibTeXRIS

Kenneth J. Falconer, Jonathan M. Fraser, Antti Käenmäki. 2020-01-20. Minkowski dimension for measures. https://arxiv.org/abs/2001.07055

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