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Average distances on self-similar sets and higher order average distances of self-similar measures
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Allen, Demi, Edwards, H., Harper, S. and Olsen, L. (2017) Average distances on self-similar sets and higher order average distances of self-similar measures. Mathematische Zeitschrift, 287 (1-2). pp. 287-324. doi:10.1007/s00209-016-1826-3 ISSN 0025-5874.
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Official URL: http://dx.doi.org/10.1007/s00209-016-1826-3
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.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Journal or Publication Title: | Mathematische Zeitschrift | ||||||||
| Publisher: | Springer | ||||||||
| ISSN: | 0025-5874 | ||||||||
| Official Date: | October 2017 | ||||||||
| Dates: |
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| Volume: | 287 | ||||||||
| Number: | 1-2 | ||||||||
| Page Range: | pp. 287-324 | ||||||||
| DOI: | 10.1007/s00209-016-1826-3 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) |
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