共查询到19条相似文献,搜索用时 140 毫秒
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本文研究了随机压缩向量满足一定条件下的随机Moran集的分形维数.利用计算上盒维数的上界和分形维数之间的性质,得到Moran集各种分形维数. 并在一般情形下,给出随机Moran集的上盒维数的上界. 相似文献
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本文在一类广义Moran集上定义了一种弱分离条件-有限交性质,并证明了重分形分解在广泛的一类分形上仍然成立。本文部分的推广了Cawley和Manlain的结果。 相似文献
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本文讨论了广义Moran集K上的概率测度的多重分形性质。采用更一般地办法定义函数f(。)来刻划K上概率测度的多重分形特征。此外,还讨论了信息维数的一些性质。 相似文献
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利用分形儿何中的技巧给出了关于一维Moran集Hausdorff维数的一个新证明和一个新结果,这可看做是对原有结果的一个有益补充. 相似文献
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本文研究了一类Moran测度.利用降阶补齐的方法,得出了一类Moran测度的Hentschel-Procaccia维数. 相似文献
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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. 相似文献
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Wang Yanbo 《分析论及其应用》2002,18(2):72-75
We find conditions on the dissection of Moran set so that the group it generates under addition has positive Lebesgue measure. 相似文献
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For a family of homogeneous Moran sets, where at each level, subintervals are arranged with in-creasing spaces between neighboring subintervals from left to right, we obtained a formula of the Hausdorff dimensions. 相似文献
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The multifractal spectrum of some moran measures 总被引:3,自引:0,他引:3
WU Min School of Mathematical Sciences South China University of Technology Guangzhou China 《中国科学A辑(英文版)》2005,48(8):1097-1112
The multifractal formalism is shown to hold for a class of Moran measures supported on the Moran fractals associated with the sequences of which the frequency of the letter exists. 相似文献
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In the paper, we try to classify Moran fractals by using the quasi-Lipschitz equivalence, and prove that two regular homogeneous Moran sets are quasi-Lipschitz equivalent if and only if they have the same Hausdorff dimension. 相似文献
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On the structures and dimensions of Moran sets 总被引:6,自引:0,他引:6
The Moran sets and the Moran class are defined by geometric fashion that distinguishes the classical self_similar sets from the following points:(i) The placements of the basic sets at each step of the constructions can be arbitrary.(ii) The contraction ratios may be different at each step.(iii) The lower limit of the contraction ratios permits zero.The properties of the Moran sets and Moran class are studied, and the Hausdorff, packing and upper Box_counting dimensions of the Moran sets are determined by net measure techniques. It is shown that some important properties of the self_similar sets no longer hold for Moran sets. 相似文献
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Yi Wang 《Journal of Mathematical Analysis and Applications》2009,354(2):445-450
In this paper, we consider a class of fractals generated by the Cantor series expansions. By constructing some homogeneous Moran subsets, we prove that these sets have full dimension. 相似文献
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本文证明了两个正则齐次均匀Moran集拟Lipschitz等价当且仅当它们的Hausdorff维数相等. 相似文献
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LOU ManLi & WU Min 《中国科学 数学(英文版)》2010,(5)
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.Our results extend the known results of some self-similar measures and Moran measures studied by Cawley and Mauldin. 相似文献
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Recently Lou and Wu obtained the formulas of pointwise dimensions of some Moran measures on Moran sets in Rd under the strong separation condition.In this paper,we prove that the result is still true under the open set condition.Due to the lack of the strong separation condition,our approach is essentially different from that used by Lou and Wu.We also obtain the formulas of the Hausdorff and packing dimensions of the Moran measures and discuss some interesting examples. 相似文献
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Jinjun Li 《Nonlinear Analysis: Real World Applications》2012,13(1):348-358
Dai and Liu obtained the formula of local dimensions of some Moran measures on Moran sets in Rd under the strong separation condition. In this paper, we prove that the result is still true under the open set condition. Due to the lack of the strong separation condition, our approach is essentially different to that used by Dai and Liu. We also obtain the formulas of the Hausdorff and packing dimensions of the Moran measures and discuss some interesting examples. 相似文献
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In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant k is replaced by some real-valued control function. For the applications to... 相似文献