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THE PACKING MEASURE OF A CLASS OF GENERALIZED SIERPINSKI CARPET

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THE PACKING MEASURE OF A CLASS OF GENERALIZED SIERPINSKI CARPET

Jia Baoguo;Zhu Zhiwei

【期刊名称】《分析、理论与应用(英文版)》 【年(卷),期】2004(020)001

【摘要】For 1/4 < a <√2/4, let S1(x) = ax, S2(x) = 1 - a + ax, x ∈ [0,1]. Ca is the attractor of the iterated function system {S1, S2}, then the packing measure of Ca × Ca is Ps(a)(Ca × Ca) = 4.2s(a)(1 - a)s(a),where s(a) = -loga4.

【总页数】8页(69-76)

【关键词】self-similar;packing dimension and measure;generalized sierpinski carpet

【作者】Jia Baoguo;Zhu Zhiwei

【作者单位】Mathematics and Scientific Computer College Zhongshan University Guangzhou, 510275 P. R. China;Mathematics Department Zhaoqing University Zhaoqing, Guangdong, 526061 P. R. China 【正文语种】中文 【中图分类】O1 【相关文献】

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THE PACKING MEASURE OF A CLASS OF GENERALIZED SIERPINSKI CARPET

THEPACKINGMEASUREOFACLASSOFGENERALIZEDSIERPINSKICARPETJiaBaoguo;ZhuZhiwei【期刊名称】《分析、理论与应用(英文版)》【年(卷),期】2004(020)001【摘要】For1/4<a<√2/4,letS1(x)=ax,S
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