Table of Contents: :: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Falconer, Kenneth J., Fraser, Jonathan M., Käenmäki, Antti
Format:	Preprint
Published:	2020
Subjects:	Classical Analysis and ODEs Metric Geometry Primary 28A75, 28A80, 54E35, Secondary 28A78, 54F45
Online Access:	https://arxiv.org/abs/2001.07055
Tags:	Add Tag No Tags, Be the first to tag this record!

Table of Contents:

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.