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A dimensional result for random self-similar sets |
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| Authors: | Yan-Yan Liu Jun Wu |
| Institution: | Department of Mathematics and Nonlinear Science Center, Wuhan University, Wuhan, Hubei, 430072, People's Republic of China ; Department of Mathematics and Nonlinear Science Center, Wuhan University, Wuhan, Hubei, 430072, People's Republic of China |
| 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  |
| Keywords: | Random self-similar set Hausdorff dimension box-counting dimension |
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