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文章基本信息

  • 标题:The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
  • 本地全文:下载
  • 作者:Hongwen Guo ; Dihe Hu
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2002
  • 卷号:31
  • DOI:10.1155/S0161171202110337
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results, about random recursive fractals.
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