Average distances on self-similar sets and higher order average distances of self-similar measures

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Date
10/2017
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Abstract
The purpose of this paper is twofold: (1) We study different notions of the average distance between two points of a self-similar subset of ℝ, and (2) we investigate the asymptotic behaviour of higher order average moments of self-similar measures on self-similar subsets of in ℝ.
Citation
Allen , D , Edwards , H , Harper , S & Olsen , L O R 2017 , ' Average distances on self-similar sets and higher order average distances of self-similar measures ' Mathematische Zeitschrift , vol. 287 , no. 1-2 , pp. 287-324 . DOI: 10.1007/s00209-016-1826-3
Publication
Mathematische Zeitschrift
Status
Peer reviewed
DOI
https://doi.org/10.1007/s00209-016-1826-3
ISSN
0025-5874
Type
Journal article
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Copyright The Author(s) 2016. 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.
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http://hdl.handle.net/10023/10069

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