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

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 c...

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Bibliographic Details
Main Authors: Hongwen Guo, Dihe Hu
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202110337
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