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FRACTAL PROPERTIES OF STATISTICALLY SELF-SIMILAR SETS

FRACTAL PROPERTIES OF STATISTICALLY SELF-SIMILAR SETS
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摘要 In this paper, authors compute the Packing dimension of statistically selfsimilar sets and obtaine the dimension and dimension distribution of statistically self-similar measure. In this paper, authors compute the Packing dimension of statistically selfsimilar sets and obtaine the dimension and dimension distribution of statistically self-similar measure.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2000年第2期256-260,共5页 数学物理学报(B辑英文版)
关键词 statistically self-similar set statistically self-similar measure dimension distribution contractive map statistically self-similar set statistically self-similar measure dimension distribution contractive map
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参考文献5

  • 1Siegried Graf.Statistically self-similar fractals[J].Probability Theory and Related Fields.1987(3)
  • 2Graf S.Statistically self-similar fractals[].Probability Theory and Related Fields.1987
  • 3Hutchinson J E.Fractals and self-similarity[].Indiana University Mathematics Journal.1981
  • 4Hu X Y,Taylor S J.Mactal properties and projections of measures in Rd[].Mathematical Proceedings of the Cambridge Philosophical Society.1994
  • 5Cutler C D.The Hausdorff distribution of finite measure in Eucliden space[].Canadian Journal of Mathematics.1986

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