自仿射dust-like Lalley集的李卜希兹等价(英)

doi:10.3969/j.issn.1000-5641.2015.01.008

华东师范大学学报(自然科学版) ›› 2015, Vol. 2015 ›› Issue (1): 68-74.doi: 10.3969/j.issn.1000-5641.2015.01.008

自仿射dust-like Lalley集的李卜希兹等价(英)

李雯雯¹,马玉田²

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

收稿日期:2014-02-01 出版日期:2015-01-25 发布日期:2015-03-29
通讯作者: 马玉田. 男, 博士, 研究方向为分数阶动力系统. E-mail:mayutian1983@163.com
作者简介:李雯雯, 女, 博士, 研究方向为分形几何. E-mail: wenwen200309@163.com.
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)

Lipschitz equivalence of dust-like Lalley self-affine sets

LI Wen-Wen¹, MA Yu-Tian²

1. Department of Mathematics, East China Normal University, Shanghai 200241, China;
2. Department of Mathematics, Fuyang Teachers College, Fuyang Anhui 236037, China

Received:2014-02-01 Online:2015-01-25 Published:2015-03-29

摘要/Abstract

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

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

中图分类号:

O189

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.

LI Wen-Wen, MA Yu-Tian. Lipschitz equivalence of dust-like Lalley self-affine sets[J]. Journal of East China Normal University(Natural Sc, 2015, 2015(1): 68-74.

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自仿射dust-like Lalley集的李卜希兹等价(英)

Lipschitz equivalence of dust-like Lalley self-affine sets

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