Minkowski dimension for measures
Falconer, Kenneth J.; Fraser, Jonathan M.; Käenmäki, Antti (2022-11-29)
Falconer, Kenneth J.
Fraser, Jonathan M.
Käenmäki, Antti
American Mathematical Society
29.11.2022
Falconer, K., Fraser, J., & Käenmäki, A. (2023). Minkowski dimension for measures. Proceedings of the American Mathematical Society, 151(2), 779–794. https://doi.org/10.1090/proc/16174
https://rightsstatements.org/vocab/InC/1.0/
© Copyright 2022 American Mathematical Society.
https://rightsstatements.org/vocab/InC/1.0/
© Copyright 2022 American Mathematical Society.
https://rightsstatements.org/vocab/InC/1.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2023031732179
https://urn.fi/URN:NBN:fi-fe2023031732179
Tiivistelmä
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.
Kokoelmat
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