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
Annales Academiæ Scientiarum Fennicæ. Mathematica (Ann. Acad. Sci. Fenn. Math.) (20120101), 37, no. 1, 229-243. ISSN: 1239-629X (print).eISSN: 1798-2383.
Subject
28 Measure and integration -- 28A Classical measure theory
  28A80 Fractals
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.''