The structure and the sufficint and necessary conditions for generalized statistically self-similar sets |
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Authors: | Deng ai-jiao Hu Di-he |
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Institution: | (1) College of Mathematics and Computer Science, Wuhan University, 430072 Wuhan, China |
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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.
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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Keywords: | statistically recursive set generalized statistically self-similar set Hausdorff metric |
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