Lipschitz equivalence of a class of self-similar sets

Xiu Chen; Kan Jiang; Wenxia Li

doi:10.5186/AASFM.2017.4238

Lipschitz equivalence of a class of self-similar sets

Xiu Chen
, Kan Jiang^*
, Wenxia Li

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider a class of homogeneous self-similar sets with complete overlaps and give a sufficient condition for the Lipschitz equivalence between members in this class.

Original language	English
Pages (from-to)	585-591
Number of pages	7
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	42
DOIs	https://doi.org/10.5186/AASFM.2017.4238
State	Published - 2017

Keywords

Complete overlap
Homogeneous self-similar sets
Lipschitz equivalence

Access to Document

10.5186/AASFM.2017.4238

Cite this

@article{79f80b7114484c7682c3822378ca917c,

title = "Lipschitz equivalence of a class of self-similar sets",

abstract = "We consider a class of homogeneous self-similar sets with complete overlaps and give a sufficient condition for the Lipschitz equivalence between members in this class.",

keywords = "Complete overlap, Homogeneous self-similar sets, Lipschitz equivalence",

author = "Xiu Chen and Kan Jiang and Wenxia Li",

note = "Publisher Copyright: {\textcopyright} 2017 Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica.",

year = "2017",

doi = "10.5186/AASFM.2017.4238",

language = "英语",

volume = "42",

pages = "585--591",

journal = "Annales Academiae Scientiarum Fennicae Mathematica",

issn = "1239-629X",

publisher = "Finnish Mathematical Society",

}

TY - JOUR

T1 - Lipschitz equivalence of a class of self-similar sets

AU - Chen, Xiu

AU - Jiang, Kan

AU - Li, Wenxia

PY - 2017

Y1 - 2017

N2 - We consider a class of homogeneous self-similar sets with complete overlaps and give a sufficient condition for the Lipschitz equivalence between members in this class.

AB - We consider a class of homogeneous self-similar sets with complete overlaps and give a sufficient condition for the Lipschitz equivalence between members in this class.

KW - Complete overlap

KW - Homogeneous self-similar sets

KW - Lipschitz equivalence

UR - https://www.scopus.com/pages/publications/85050975516

U2 - 10.5186/AASFM.2017.4238

DO - 10.5186/AASFM.2017.4238

M3 - 文章

AN - SCOPUS:85050975516

SN - 1239-629X

VL - 42

SP - 585

EP - 591

JO - Annales Academiae Scientiarum Fennicae Mathematica

JF - Annales Academiae Scientiarum Fennicae Mathematica

ER -

Lipschitz equivalence of a class of self-similar sets

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this