国家自然科学基金(10631040)

作品数：7被引量：8H指数：2
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相关机构：华中科技大学更多>>
相关期刊：《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Chinese Annals of Mathematics,Series B》《应用数学》更多>>
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一类广义Sierpinski地毯的Huasdorff维数被引量：2
《应用数学》2011年第2期360-365,共6页朱志勇 文志雄 
国家自然科学基金(10631040)
通过在任意给定的凸四边形和三角形上构造一个不同于通常欧氏度量的度量,证明了如果把构造经典Sierpinski地毯的初始图形正方形换成任意一个凸四边形或者三角形,则得到的广义Sierpinski地毯与经典的Sierpinski地毯具有相同的Hausdorff维数.
关键词：广义Sierpinski地毯 完备度量空间 Huasdorff维数 
Lipschitz equivalence of self-similar sets with triangular pattern
《Science China Mathematics》2011年第5期1019-1026,共8页ZHU ZhiYong XIONG Ying XI LiFeng 
supported by National Natural Science of China (Grant Nos. 11071224, 11071082, 11071090, 10671180, 10631040);Natural Science Foundation of Ningbo (Grant No. 2009A610077);the Fundamental Research Funds for the Central Universities, SCUT;the Science Foundation for the Youth of South China University of Technology (Grant No. E5090470)
In this paper, we discuss the Lipschitz equivalence of self-similar sets with triangular pattern. This is a generalization of {1, 3, 5}-{1, 4, 5} problem proposed by David and Semmes. It is proved that if two such sel...
关键词：FRACTAL Lipschitz equivalence triangular pattern self-similar set 
一类广义齐次Moran集的Hausdorff维数被引量：2
《应用数学》2011年第1期73-76,共4页丁道新 文志雄 
国家自然科学基金资助项目(10631040)
本文构造了一类具有类似高维Moran结构的集合,给出一些充分条件来计算其Hausdorff维数.
关键词：齐次MORAN集 广义齐次Moran集 HAUSDORFF维数 
The pointwise dimensions of Moran measures被引量：3
《Science China Mathematics》2010年第5期246-255,共10页Lou ManLi Wu Min 
supported by National Natural Science Foundation of China (Grant No.10631040)
In this paper,we get the formulas of upper(lower) pointwise dimensions of some Moran measures on Moran sets in Rd under the strong separation condition.We also obtain formulas for the dimension of the Moran measures.O...
关键词：POINTWISE DIMENSION MORAN MEASURE MORAN SET 
Gap Property of Bi-Lipschitz Constants of Bi-Lipschitz Automorphisms on Self-similar Sets
《Chinese Annals of Mathematics,Series B》2010年第2期211-218,共8页Lifeng XI Ying XIONG 
supported by the National Natural Science Foundation of China (Nos.10671180,10571140,10571063,10631040,11071164) and the Morningside Center of Mathematics
For a given self-similar set ERd satisfying the strong separation condition,let Aut(E) be the set of all bi-Lipschitz automorphisms on E.The authors prove that {fAut(E):blip(f)=1} is a finite group,and the gap propert...
关键词：FRACTAL Bi-Lipschitz automorphism Self-similar set 
Integral Self-affine Tiles of Bandt's Model
《Acta Mathematicae Applicatae Sinica》2010年第1期169-176,共8页Hui Rao Li-jun Zhang 
Supported by the National Natural Science Foundation of China(No.10631040)
Integral self-affine tiling of Bandt＇s model is a generalization of the integral self-affine tiling. Using ergodic theory, we show that the Lebesgue measure of the tile is a rational number where the denominator equa...
关键词：IFS self-affine tiling invariant measure _ 
Sharp Lipschitz constant of bi-Lipschitz automorphism on Cantor set被引量：1
《Science China Mathematics》2009年第4期709-719,共11页XIONG Ying WANG LiSha XI LiFeng 
supported by National Natural Science Foundation of China (Grant Nos. 10671180, 10571140,10571063, 10631040, 11071164);Morningside Center of Mathematics
Suppose C r = (r C r ) ∪ (r C r + 1 ? r) is a self-similar set with r ∈ (0, 1/2), and Aut(C r ) is the set of all bi-Lipschitz automorphisms on C r . This paper proves that there exists f* ∈ Aut(C r ) such that $$ ...
关键词：FRACTAL bi-Lipschitz automorphism Cantor set 28A80 
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