ARITHMETIC SUM OF TWO HOMOGENEOUS CANTOR SETS

ARITHMETIC SUM OF TWO HOMOGENEOUS CANTOR SETS

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摘要 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. 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.

作者 Jiang Haiyi Yin YongchengDept. of Math., Zhejiang Univ., Hangzhou 310027,China.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第2期125-128,共4页 高校应用数学学报（英文版）（B辑）

基金 Supported by the National Natural Science Foundation of China(1 0 1 71 0 90 )

关键词 Hausdorff measure homogeneous Cantor set homogeneous Moran set. Hausdorff measure, homogeneous Cantor set, homogeneous Moran set.

分类号 O189.1 [理学—基础数学]

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1Palis, J. , Takens, F. , Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations,Cambridge:Cambridge Univ. Press, 1993.
2Solomyak, B. , On the measure of arithmetic sums of Cantor sets, Indag. Math. (N. S. ), 1997,8:133-141.
3Peres, Y. and Solomyak, B. , Self-similar measures and intersections of Cantor sets, Trans. Amer. Math. Soc. , 1998,350:4065-4087.
4Feng Dejun, Wen Zhiying and Wu Jun, Some dimensional results for homogeneous Moran sets,Science in China (Series A), 1997,40(5) :475-482.
5Feng Dejun, Rao Hui and Wu Jun, The properties of net measures of homogeneous Cantor sets and applications, Progress in Natural Science (in Chinese), 1996,6(6):673-678.

1Cheng Qin QU,Hui RAO,Wei Yi SU.Hausdorff Measure of Homogeneous Cantor Set[J].Acta Mathematica Sinica,English Series,2001,17(1):15-20. 被引量：2
2燕子宗,李平玉.刚性与非刚性Moran集(英文)[J].荆州师专学报,2001,24(2):16-19.
3Zhu Zhiwei and Zhou Zuoling (Zhongshan Univeristy, China).THE HAUSDORFF CENTRED MEASURE OF THE SYMMETRY CANTOR SETS[J].Approximation Theory and Its Applications,2002,18(2):49-57. 被引量：8
4Feng Dejun, Rao Hui, Wen Zhiying, Wu Jun(Wuhan University, China).DIMENSIONS AND GAUGES FOR SYMMETRIC CANTOR SETS[J].Analysis in Theory and Applications,1995,11(4):108-110. 被引量：1
5李进军,陆式盘.扩散Cantor集的最小Hausdorff测度(英文)[J].Journal of Mathematical Research and Exposition,2009,29(6):1114-1116.
6廖天河,高穹.Fractional Fourier Transform of Cantor Sets[J].Chinese Physics Letters,2005,22(9):2316-2319.
7YAN Ping(Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China).Dimensions of a class of high-dimensional homogeneous Moran sets and Moran classes[J].Progress in Natural Science:Materials International,2002,12(9):655-660. 被引量：7
8Cheng-qin QU.Hausdorff Measures for a Class of Homogeneous Cantor Sets[J].Acta Mathematicae Applicatae Sinica,2013,29(1):117-122. 被引量：1
9RuanHuojun,DaiMeifeng,SuWeiyi.HAUSDORFF CENTRED MEASURE OF NON-SYMMETRY CANTOR SETS[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(2):235-242.
10丁道新,文志雄.一类广义齐次Moran集的Hausdorff维数[J].应用数学,2011,24(1):73-76. 被引量：2

Applied Mathematics(A Journal of Chinese Universities)

2003年第2期

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ARITHMETIC SUM OF TWO HOMOGENEOUS CANTOR SETS

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