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

D. Allen, H. Edwards, S. Harper, L. Olsen*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
230 Downloads (Pure)

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 (Formula presented.), and (2) we investigate the asymptotic behaviour of higher order average moments of self-similar measures on self-similar subsets of (Formula presented.).

Original languageEnglish
Pages (from-to)287-324
Number of pages38
JournalMathematische Zeitschrift
Volume287
Issue number1-2
Early online date29 Dec 2016
DOIs
Publication statusPublished - Oct 2017

Keywords

  • Average distance
  • Mellin transform
  • Moments
  • Self-similar measures
  • Self-similar set

Fingerprint

Dive into the research topics of 'Average distances on self-similar sets and higher order average distances of self-similar measures'. Together they form a unique fingerprint.

Cite this