| 由Cantor展式定义的Besicovitch-Eggleston子集 |
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| 引用本文： | 熊瑛. 由Cantor展式定义的Besicovitch-Eggleston子集[J]. 数学杂志, 2010, 30(5) |
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| 作者姓名： | 熊瑛 |
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| 作者单位： | 华南理工大学数学系,广东,广州,510641;武汉大学数学与统计学院,湖北,武汉,430072 |
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| 摘 要： | 本文研究了由Cantor展式所确定的一类Besicovitch-Eggleston子集.应用Billingsley定理,得到了这类集合的维数.并且表明无穷符号空间和有限符号空间上的Besicovitch-Eggleston子集的性质是有区别的.
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| 关 键 词： | Cantor展式 Besicovitch-Eggleston子集 Hausdorff维数 |
BESICOVITCH-EGGLESTON SUBSETS IN THE CANTOR EXPANSION |
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| XIONG Ying. BESICOVITCH-EGGLESTON SUBSETS IN THE CANTOR EXPANSION[J]. Journal of Mathematics, 2010, 30(5) |
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| Authors: | XIONG Ying |
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| Abstract: | In this article, we study the Hausdorff dimension of Besicovitch-Eggleston subsets in the Cantor expansion. By applying Billingsley's theorem, the result indicates that the properties of Besicovitch-Eggleston subsets in infinite symbolic space are different from those in finite symbolic space. |
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| Keywords: | Cantor expansion Besicovitch-Eggleston set Hausdorff dimension |
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