拟对称packing极小Moran集（英文）  

QUASISYMMETRICALLY PACKING-MINIMAL MORAN SETS

作　　者：李彦哲[1] 何其涵 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《数学杂志》2017年第6期1125-1133,共9页Journal of Mathematics

基　　金：Supported by NSFC(11626069);Guangxi Natural Science Foundation(2016GXNSFAA380003);Science Foundation of Guangxi University(XJZ150827)

摘　　要：本文研究了一维Moran集的拟对称packing极小性的问题.利用质量分布原理的方法,获得了直线上一类packing维数为1的Moran集为拟对称packing极小集的结果,推广了参考文献中关于拟对称packing极小性的已知结果.In this paper, we study the problem of packing-minimality of 1-dimensional Moran sets. By using the principle of mass distribution, we obtain that a large class of Moran sets on the line with packing dimension 1 is quasisymmetrically packing-minimal, which extends a known result of quasisymmetrically packing-minimality.

关 键 词：拟对称映射 PACKING维数 MORAN集 

分 类 号：O174.12[理学—数学]