Average distances on self-similar sets and higher order average distances of self-similar measures
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 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 $${\mathbb {R}}$$R, and (2) we investigate the asymptotic behaviour of higher… read more here.
Keywords: self similar; higher order; distances self; similar measures ... See more keywords
Spectral properties of self-similar measures with product-form digit sets
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DOI: 10.1016/j.jmaa.2018.12.062
Abstract: Abstract In this paper, we consider the spectral properties of self-similar measures μ R , D generated by the integer R = N q and the product-form digit set D = { 0 , 1… read more here.
Keywords: self similar; form digit; spectral properties; product form ... See more keywords
Orthogonal Polynomials Defined by Self-Similar Measures with Overlaps
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DOI: 10.1080/10586458.2020.1743214
Abstract: We study orthogonal polynomials with respect to self-similar measures, focusing on the class of infinite Bernoulli convolutions, which are defined by iterated function systems with overlaps, especi... read more here.
Keywords: self similar; defined self; similar measures; polynomials defined ... See more keywords