On average Hewitt-Stromberg measures of typical compact metric spaces

Lars Olsen

doi:10.1007/s00209-019-02239-3

On average Hewitt-Stromberg measures of typical compact metric spaces

Lars Olsen

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study average Hewitt-Stromberg measures of typical compact metric spaces belonging to the Gromov-Hausdorff space (of all compact metric spaces) equipped with the Gromov-Hausdorff metric.

Original language	English
Number of pages	25
Journal	Mathematische Zeitschrift
Volume	First Online
Early online date	24 Jan 2019
DOIs	https://doi.org/10.1007/s00209-019-02239-3
Publication status	E-pub ahead of print - 24 Jan 2019

Keywords

Box dimension
Compact metric space
The Gromov-Hausdorff metric
Hewitt-Stromberg measure
Hausdorff measure
Packing measure

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10.1007/s00209-019-02239-3Licence: CC BY

Olsen_2019_MZ_Hewitt-Stromberg_CC
Copyright © The Author(s) 2019. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Final published version, 348 KBLicence: CC BY

Cite this

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KW - Compact metric space

KW - The Gromov-Hausdorff metric

KW - Hewitt-Stromberg measure

KW - Hausdorff measure

KW - Packing measure

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On average Hewitt-Stromberg measures of typical compact metric spaces

Abstract

Keywords

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