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A dimensional result for random self-similar sets
Author(s):
Yan-Yan
Liu;
Jun
Wu
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2125-2131.
MSC (2000):
Primary 60D05;
Secondary 28A78
Posted:
January 17, 2002
MathSciNet review:
1896049
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Abstract:
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 
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Additional Information:
Yan-Yan
Liu
Affiliation:
Department of Mathematics and Nonlinear Science Center, Wuhan University, Wuhan, Hubei, 430072, People's Republic of China
Email:
lisa-yy@263.net
Jun
Wu
Affiliation:
Department of Mathematics and Nonlinear Science Center, Wuhan University, Wuhan, Hubei, 430072, People's Republic of China
Email:
wujunyu@public.wh.hb.cn
DOI:
10.1090/S0002-9939-02-06311-6
PII:
S 0002-9939(02)06311-6
Keywords:
Random self-similar set,
Hausdorff dimension,
box-counting dimension
Received by editor(s):
July 16, 2000
Received by editor(s) in revised form:
February 14, 2001
Posted:
January 17, 2002
Additional Notes:
This research was supported by the Special Funds for Major State Basic Research Projects
Communicated by:
Claudia M. Neuhauser
Copyright of article:
Copyright
2002,
American Mathematical Society
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