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5. Hausdorff dimension of self-similar sets with overlaps

Hausdorff dimension of self-similar sets with overlaps

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：qq231582

【摘 要】

：

We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system of contractive similarities satisfyin

【作 者】

：

QiRong Deng (1)  John Hardin 

【机 构】

：

1.DepartmentofMathematics,2.DepartmentofMathematicalSciences,3.DepartmentofMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2009年1期

【关键词】

：

HAUSDORFF DIMENSION ITERATED function system SELF-SIMILARITY Hausdorff dimension 

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We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system of contractive similarities satisfying a certain collection of assumptions. This formula is obtained by associating a non-overlappin

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