期刊论文

中文

数学杂志

0255-7797

2014

34

5

871-874

10.13548/j.sxzz.2014.05.033

Supported by National Natural Science Foundation of China（11101169）；

本校为第一机构

本文研究了一类多分支自相似集的自仿嵌入.利用压缩映射的不动点,在一定条件下,证明了若一个自相似集能自仿嵌入到另一个自相似集中,则它们对应的迭代函数系的压缩比满足某种代数性质.

In this paper, we consider the affine embeddings of a class of self-similar sets with multi-branches. By applying the fixed point of the contractive mapping, we show that under certain circumstances, if a self-similar set can be affinely embedded into another one, then their contractive ratios of the corresponding IFS m...