THE HAUSDORFF CENTRED MEASURE OF THE SYMMETRY CANTOR SETS The Hausdorff Centred measure of the symmetry Cantor sets期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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THE HAUSDORFF CENTRED MEASURE OF THE SYMMETRY CANTOR SETS

摘要：
关键词：	Hausdorff中心测度对称 Cantor集吸引子迭代函数分形集 Borel测度
The Hausdorff Centred measure of the symmetry Cantor sets

Authors:	Zhu Zhiwei and Zhou Zuoling

Abstract:	Let 0<λ≤1/3, K(λ) be the attractor of an iterated function system {ϕ₁ϕ₂} on the line, where ϕ₁(x)=λx, ϕ₁(x)=1-λ+λx,x∈0,1]. We call K(λ) the symmetry Cantor sets. In this paper, we obtained the 0123 0132 V 3 exact Hausdorff Centred measure of K(λ).

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