학술논문
Lipschitz equivalence of a class of self-similar sets with complete overlaps.
Document Type
Journal
Author
Guo, Qiuli (PRC-ZWU-IM) AMS Author Profile; Li, Hao (PRC-ZWU-IM) AMS Author Profile; Wang, Qin (PRC-ZWU-SCT) AMS Author Profile; Xi, Lifeng (PRC-ZWU-IM) AMS Author Profile
Source
Subject
28 Measure and integration -- 28A Classical measure theory
28A80Fractals
28A80
Language
English
Abstract
Summary: ``Fix $r\in(0,1/3]$. We discuss a class of self-similar sets$\{K_n\}_{n\ge1}$ with complete overlaps, where$K_n=(rK_n)\cup(rK_n+r^n(1-r))\cup(rK_n+1-r)$. We prove that for any$n_1$, $n_2\ge1$, $K_{n_1}$ and $K_{n_2}$ are Lipschitz equivalent.''