Quantization dimension of random self-similar measures |
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Authors: | Meifeng Dai Xiao Tan |
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Affiliation: | aNonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, PR China |
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Abstract: | In this paper, we study the quantization dimension of a random self-similar measure μ supported on the random self-similar set K(ω). We establish a relationship between the quantization dimension of μ and its distribution. At last we give a simple example to show that how to use the formula of the quantization dimension. |
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Keywords: | Quantization dimension Random self-similar set Random measure |
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