| 两个齐次Cantor集的算术和 |
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| 引用本文： | 姜海益,尹永成.两个齐次Cantor集的算术和[J].高校应用数学学报(英文版),2003,18(2):125-128. |
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| 作者姓名： | 姜海益 尹永成 |
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| 作者单位： | Jiang Haiyi Yin YongchengDept. of Math.，Zhejiang Univ.，Hangzhou 310027，China. |
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| 基金项目： | Supported by the National Natural Science Foundation of China(1 0 1 71 0 90 ) |
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| 摘 要： | § 1 IntroductionThe book1 ] and the references therein show thatthe structure of arithmetic sums ofCantor sets is relevantto natural questions in smooth dynamics.Palis and Takens1 ] askedabout the structure of the sums of two Cantor sets and conjectured that“typically” theyhave either zero Lebesgue measure or contained intervals. In 1 997,Solomyka2 ] showedthatfor eachγ∈ 0 ,12 ,the set Kγ+Kλ(where Kλ,Kγis the middle-α Cantorset forα=1 -2λ or 1 -2γ) of two centered Cantor s…
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| 收稿时间： | 15 May 2002 |
Arithmetic sum of two homogeneous cantor sets |
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| Jiang?Haiyi,Yin?Yongcheng.Arithmetic sum of two homogeneous cantor sets[J].Applied Mathematics A Journal of Chinese Universities,2003,18(2):125-128. |
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| Authors: | Jiang Haiyi Yin Yongcheng |
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| Institution: | (1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou, China |
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| Abstract: | 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. |
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| Keywords: | Hausdorff measure homogeneous Cantor set homogeneous Moran set |
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