文章基本信息

标题：The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
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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.