Abstract
We constructed a class of generalized statistically self-similar sets and give the necessary and sufficent conditions to ensure a random recursive set being a generalized statistically self-similar set. The statistically self-similar sets defined by Hutchinson, Falconer, Graf are the special cases of ours.
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References
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Foundation item: Supported by the National Natural Science Foundation of China
Biography: DENG Ai-jiao (1974-), female, Ph.D. candidate, research interes: is in stochastic process and random ractal
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ai-jiao, D., Di-he, H. The structure and the sufficint and necessary conditions for generalized statistically self-similar sets. Wuhan Univ. J. Nat. Sci. 5, 013–021 (2000). https://doi.org/10.1007/BF02828300
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DOI: https://doi.org/10.1007/BF02828300