国家自然科学基金(10871180)

作品数：4被引量：1H指数：1
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相关期刊：《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Wuhan University Journal of Natural Sciences》更多>>
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Dimensional Results for Cartesian Products of Homogeneous Moran Sets被引量：1
《Acta Mathematicae Applicatae Sinica》2012年第4期673-680,共8页Li CAO Xing-Gang HE 
Supported by the National Natural Science Foundation of China (No.10771082 and 10871180)
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 t...
关键词：Homogeneous Moran sets Cartesian product Hausdorff dimension 
Lipschitz equivalence of fractal sets in R
《Science China Mathematics》2012年第10期2095-2107,共13页DENG GuoTai HE XingGang 
supported by National Natural Science Foundation of China (Grant No.10871180)
Let T（q, D） be a self-similar （fractal） set generated by {fi（x） = 1/q（（x ＋ di）}^Ni=1 where integer q 〉 1and D = {d1, d2 dN} C R. To show the Lipschitz equivalence of T（q, D） and a dust-iik-e T（q, C）, on...
关键词：dust-like graph-directed iterating function systems Lipschitz equivalence self-similar sets 
Dimensional Results for the Moran-Sierpinski Gasket
《Wuhan University Journal of Natural Sciences》2012年第2期93-96,共4页CAO Li HE Xinggang 
Supported by the National Natural Science Foundation of China(10771082 and 10871180)
In this paper, the dimensional results of Moran-Sierpinski gasket are considered. Moran-Sierpinski gasket has the Moran structure, which is an extension of the Sierpinski gasket by the method of Moran set. By the tech...
关键词：Sierpinski gasket Moran-Sierpinski gasket Moran set Hausdorff dimension packing dimension 
Summation and intersection of refinable shift invariant spaces
《Science China Mathematics》2011年第10期2087-2097,共11页DAI XinRong SONG JunQuan 
supported by National Natural Science Foundation of China (Grant No. 10871180);Projects of International Cooperation and Exchanges NSFC-NSF (Grant No. 10911120394)
We study shift invariant spaces generated by refinable distributions. We classify the summation and the intersection of shift invariant spaces generated by refinable distributions,and prove that they are also shift in...
关键词：refinable distribution shift invariant space linearly independent property 
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