The necessary and sufficient conditions for various self-similar sets and their dimension |
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| Authors: | Dihe Hu |
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| Affiliation: | College of Mathematical Science, Wuhan University, Wuhan, 430072, People's Republic of China |
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| 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. |
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| Keywords: | Statistically self-similar sets A.s. self-similar sets Hausdorff dimension Statistically recursive sets Statistical contraction operators |
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