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Dimensional Results for Cartesian Products of Homogeneous Moran Sets 被引量:1
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作者 Li CAO Xing-Gang HE 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第4期673-680,共8页
M(J, {ms * ns}, {Cs}) be the collection of Cartesian products of two homogenous Moran sets with the same ratios {cs} Where J = [0, 1] × [0, 1]. Then the maximal and minimal values of the Hausdorff dimensions f... M(J, {ms * ns}, {Cs}) be the collection of Cartesian products of two homogenous Moran sets with the same ratios {cs} Where J = [0, 1] × [0, 1]. Then the maximal and minimal values of the Hausdorff dimensions for the elements in M are obtained without any restriction on {msns} or {cs}. 展开更多
关键词 homogeneous moran sets Cartesian product Hausdorff dimension
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ARITHMETIC SUM OF TWO HOMOGENEOUS CANTOR SETS
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作者 Jiang Haiyi Yin YongchengDept. of Math., Zhejiang Univ., Hangzhou 310027,China. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第2期125-128,共4页
In this note, an example of two homogeneous Cantor sets whose arithmetic sum is a homogeneous Cantor set with a positive Lebesgue measure is given.
关键词 Hausdorff measure homogeneous Cantor set homogeneous moran set.
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