Ma Qiang, Dai Chaoshou. Mutlifractal Decomposition of Random Fractal with Finite Memory[J]. Chinese Journal of Applied Probability and Statistics, 2010, 26(6): 561-576.
Citation: Ma Qiang, Dai Chaoshou. Mutlifractal Decomposition of Random Fractal with Finite Memory[J]. Chinese Journal of Applied Probability and Statistics, 2010, 26(6): 561-576.
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Mutlifractal Decomposition of Random Fractal with Finite Memory

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  • The Hausdorff dimension about random fractal sets with finite memory has been studied by Dryakhlov and Tempelman. In this paper, the multifractal decomposition of random fractal sets with finite memory is researched and under some certain conditions the Hausdorff dimension expression of the multifractal decomposition set K_\alpha(\omega) for random fractal set with finite memory is given.
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