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HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS

HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS
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摘要 The authors consider generalized statistically self-affine recursive fractals K with random numbers of subsets on each level. They obtain the Hausdorff dimensions of K without considering whether the subsets on each level are non-overlapping or not. They also give some examples to show that many important sets are the special cases of their models. The authors consider generalized statistically self-affine recursive fractals K with random numbers of subsets on each level. They obtain the Hausdorff dimensions of K without considering whether the subsets on each level are non-overlapping or not. They also give some examples to show that many important sets are the special cases of their models.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2004年第3期421-433,共13页 数学物理学报(B辑英文版)
基金 This research is partly supported by NNSF of China (60204001) the Youth Chengguang Project of Science and Technology of Wuhan City (20025001002)
关键词 自仿射收缩映射 后弯曲统计集 HAUSDORFF测度 Hausdorff元 单一价值函数 几何 Self-affine contraction map, statistically recursive set, statistically self-affine set, Hausdorff measure, Hausdorff dimension, singular value function
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