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