Average distances on self-similar sets and higher order average distances of self-similar measures
Allen, D, Edwards, H, Harper, S et al. (1 more author)
(2016)
Average distances on self-similar sets and higher order average distances of self-similar measures.
Mathematische Zeitschrift.
ISSN 0025-5874
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 ℝ.
Metadata
Authors/Creators:
Allen, D
Edwards, H
Harper, S
Olsen, L
Copyright, Publisher and Additional Information:
This is an open access article 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.
Keywords:
Self-similar set · Self-similar measures · Average distance · Moments · Mellin transform
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