广义复连分数IFS极限集的填充测度与维数
Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions
AI总结：
本文研究广义复连分数的共形迭代函数系统（CIFSs），证明其极限集的填充维数与Hausdorff维数相等，且对应维数的填充测度有限，补充了此前相关测度研究的结论。
摘要：
我们研究一类广义复连分数的共形迭代函数系统（简称CIFSs）。在我们此前的论文中，已证明该极限集的对应维数Hausdorff测度为零，且关于Hausdorff维数的极限集填充测度为正。本文证明，该族中每个CIFS的极限集的填充维数与Hausdorff维数相等，且极限集的对应维数填充测度是有限的。
英文摘要：
We consider a family of conformal iterated function systems (for short, CIFSs) of generalized complex continued fractions. Note that in our previous paper we showed that the proper-dimensional Hausdorff measure of the limit set is zero and the packing measure of the limit set with respect to the Hausdorff dimension is positive. In this paper, we show that the packing dimension and the Hausdorff dimension of the limit set of each CIFS in the family are equal, and the proper-dimensional packing measure of the limit set is finite.
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