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Dimensions of cookie-cutter-like sets
Authors:Jihua Ma  Hui Rao and Zhiying Wen
Institution:1. Laboratory of Pure and Applied Mathematics, Wuhan University, Wuhan 430072, China
2. Department of Mathematics, Tsinghua University, Beijing 100084, China
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.
Keywords:cookie-cutter-like sets  Gibbs-like measures  predimensions
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