期刊文献+

统计自相似测度的分形性质

The Fractal Properties of Statistically Self-similer Measure
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摘要 对于一种利用可测映射序列构造的统计自相似集和统计自相似测度,得到了统计自相似测度的支撑集,以及统计自相似集关于统计自相似测度的0-1律性质. We consider the statistically self- similar set and the statistically self- similar measme constructed by the sequence of Borel measurable functions, we establish the support of statistically seif- similar measure and the 0- 1 law about satistically self- similar fractals.
作者 杨元启 姚楠
出处 《武陵学刊(自然科学版)》 1998年第6期1-5,共5页
关键词 统计自相似测度 统计自似集 H测试 分形 Statistically self-similar random set Statistically self-similar mensure Hausdorff measure Hausdofff metric
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参考文献3

  • 1Hu Dihe. The convergence of statistically self-similar sets and the upper bound and lower bound of Hausdorff measure[J] 1997,Wuhan University Journal of Natural Sciences(2):142~146
  • 2Hu Dihe. The construction of statistically self-similar measures[J] 1997,Wuhan University Journal of Natural Sciences(1):19~24
  • 3Siegried Graf. Statistically self-similar fractals[J] 1987,Probability Theory and Related Fields(3):357~392

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