A Dimensional Result for Random Self-similar Sets

نویسندگان

  • YAN-YAN LIU
  • JUN WU
  • Claudia M. Neuhauser
چکیده

A very important property of a deterministic self-similar set is that its Hausdorff dimension and upper box-counting dimension coincide. This paper considers the random case. We show that for a random self-similar set, its Hausdorff dimension and upper box-counting dimension are equal a.s.

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تاریخ انتشار 2002