Hu, Dihe The probability character of statistically self-similar sets and measures. (Chinese. English summary) Zbl 1039.28010 Acta Math. Sci. (Chin. Ed.) 19, No. 3, 338-346 (1999). Summary: We prove that a statistically self-similar set is generated by a collection of random contraction operators \(\{f_\sigma\), \(\sigma \in D\}\), where \(f_\sigma\) is a random element from a probability space \((\Omega,{\mathcal F},P)\) to \(\text{con} (E)\), where \(\text{con} (E)\) denotes all contraction operators from a complete separable metric space \(E\) into itself. Cited in 2 Documents MSC: 28A80 Fractals 60G18 Self-similar stochastic processes 60D05 Geometric probability and stochastic geometry Keywords:statistically self-similar set; statistically self-similar measure; random set; random construction operators PDFBibTeX XMLCite \textit{D. Hu}, Acta Math. Sci. (Chin. Ed.) 19, No. 3, 338--346 (1999; Zbl 1039.28010)