Minkowski dimension for measures
MetadataShow full item record
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.
Falconer , K J , Fraser , J & Käenmäki , A 2023 , ' Minkowski dimension for measures ' , Proceedings of the American Mathematical Society , vol. 151 , no. 2 , pp. 779-794 . https://doi.org/10.1090/proc/16174
Proceedings of the American Mathematical Society
DescriptionFunding: JMF and KJF are financially supported by an EPSRC Standard Grant (EP/R015104/1) and JMF by a Leverhulme Trust Research Project Grant (RPG-2019-034).
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.