华东师范大学学报（自然科学版） >

2015 , Vol. 2015 >Issue 1: 68 - 74

DOI: https://doi.org/10.3969/j.issn.1000-5641.2015.01.008

应用数学与基础数学

自仿射dust-like Lalley集的李卜希兹等价(英)

  • 李雯雯 ,
  • 马玉田
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  • 1. 华东师范大学 数学系 上海 200241 2. 阜阳师范学院 数学系 安徽 阜阳 236037  
李雯雯, 女, 博士, 研究方向为分形几何. E-mail: wenwen200309@163.com.

收稿日期: 2014-02-01

  网络出版日期: 2015-03-29

基金资助

国家自然科学基金(11401104);

安徽省教育厅自然科学一般项目(KJ2012B203);

阜阳师范 学院校级重点项目(2014FSKJ032D)

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Lipschitz equivalence of dust-like Lalley self-affine sets

  • LI Wen-Wen ,
  • MA Yu-Tian
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  • 1. Department of Mathematics, East China Normal University, Shanghai 200241, China;
    2. Department of Mathematics, Fuyang Teachers College, Fuyang Anhui 236037, China

Received date: 2014-02-01

  Online published: 2015-03-29

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摘要

研究一类自仿射Lalley集,证明了满足dust-like条件的Lalley集E和F是李卜希兹等价的

关键词： 似尘; Lalley集; 李卜希兹等价

本文引用格式

李雯雯 , 马玉田 . 自仿射dust-like Lalley集的李卜希兹等价(英)[J]. 华东师范大学学报（自然科学版）, 2015 , 2015(1) : 68 -74 . DOI: 10.3969/j.issn.1000-5641.2015.01.008

Abstract

We consider a class of Lalley self-affine sets and show that two sets E and F from this class are Lipschitz equivalent if they are dust-like.

Key words： dust-like; Lalley sets; Lipschitz equivalenc

参考文献

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