Dimensions of cookie-cutter-like sets |
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Authors: | Jihua Ma Hui Rao and Zhiying Wen |
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Institution: | 1. Laboratory of Pure and Applied Mathematics, Wuhan University, Wuhan 430072, China 2. Department of Mathematics, Tsinghua University, Beijing 100084, China |
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Abstract: | The cookie-cutter-like sets are defined as the limit sets of a sequence of classical cookie-cutter mappings. By introducing
Gibbs-like measures, we study the dimensions, Hausdorff and packing measures of the CC-like sets, and then discuss the continuous
dependence of the dimensions. |
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Keywords: | cookie-cutter-like sets Gibbs-like measures predimensions |
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