Lipschitz equivalence of a class of self-similar sets with complete overlaps
type: Item
instance of: scholarly article
title: Lipschitz equivalence of a class of self-similar sets with complete overlaps
zbMATH Open document ID: 1267.28010
author: Qiuli Guo
author: Hao Li
author: Qin Wang
author: Lifeng Xi
publication date: 2012-09-05T00:00:00Z
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 6077177
zbMATH Keywords: fractals
zbMATH Keywords: self-similar set
zbMATH Keywords: Lipschitz equivalence
zbMATH Keywords: complete overlaps
MaRDI profile type: Publication
full work available at URL: aasfm.2012.3712
OpenAlex ID: W2314664679
DOI: 10.5186/AASFM.2012.3712
published in: Annales Academiae Scientiarum Fennicae. Mathematica
review text: Fix \(r \in (0, 1 / 3]\). Let \(\{K_n\}_{n=1}^\infty\) be a class of self-similar sets satisfying NEWLINE\[NEWLINEK_n = (r K_n) \cup (rK_n + r^n (1 - r)) \cup (r K_n + 1-r).NEWLINE\]NEWLINE NEWLINEThen the authors prove that, for any \(n_1, n_2 \geq 1\), \(K_{n_1}\) and \(K_{n_2}\) are Lipschitz equivalent.
description: scientific article; zbMATH DE number 6077177