The necessary and sufficient conditions for various self-similar sets and their dimension

Dihe Hu

Stochastic Processes and their Applications, 2000, vol. 90, issue 2, 243-262

Abstract: We have given several necessary and sufficient conditions for statistically self-similar sets and a.s. self-similar sets and have got the Hausdorff dimension and exact Hausdorff measure function of any a.s. self-similar set in this paper. It is useful in the study of probability properties and fractal properties and structure of statistically recursive sets.

Keywords: Statistically; self-similar; sets; A.s.; self-similar; sets; Hausdorff; dimension; Statistically; recursive; sets; Statistical; contraction; operators (search for similar items in EconPapers)
Date: 2000
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