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

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Date

29/12/2016

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 2016 , ' Average distances on self-similar sets and higher order average distances of self-similar measures ' Mathematische Zeitschrift , vol First Online . DOI: 10.1007/s00209-016-1826-3

Version

Publisher PDF

Publication

Mathematische Zeitschrift

Status

Peer reviewed

URI

http://hdl.handle.net/10023/10069

DOI

http://dx.doi.org/10.1007/s00209-016-1826-3

ISSN

0025-5874

Type

Journal article

Rights

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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