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Publication - Dr Demi Allen

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

    Citation

    Allen, D, Edwards, H, Harper, S & Olsen, L, 2017, ‘Average distances on self-similar sets and higher order average distances of self-similar measures’. Mathematische Zeitschrift, vol 287., pp. 287-324

    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.).

    Full details in the University publications repository