DIMENSIONS FOR RANDOM SELF-CONFORMAL SETS

DIMENSIONS FOR RANDOM SELF-CONFORMAL SETS

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摘要 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. 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.

作者 Liu Yanyan and Wu Jun (Wuhan University,China)

出处《Analysis in Theory and Applications》 2003年第4期342-354,共13页 分析理论与应用（英文刊）

基金 TheresearchwassupportedbytheSpecialFundsforMajorStateBasicResearchProjectsinChina

关键词 Random self-conformal set Hausdorff dimension Box-counting dimension. Random self-conformal set,Hausdorff dimension,Box-counting dimension.

分类号 O242 [理学—计算数学]

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Analysis in Theory and Applications

2003年第4期

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DIMENSIONS FOR RANDOM SELF-CONFORMAL SETS

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