Dimensions for random self–conformal sets |
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Authors: | YanYan Liu Jun Wu |
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Institution: | Yan–Yan Liu,Jun Wu |
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Abstract: | A set is called regular if its Hausdorff dimension and upper box–counting dimension coincide. In this paper, we prove that the random self–conformal set is regular almost surely. Also we determine the dimensions for a class of random self–conformal sets. |
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Keywords: | Random self– conformal set Hausdorff dimension box– counting dimension |
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