Lipschitz equivalence of mcmullen sets

Boming Li; Wenxia Li; Jun Jie Miao

doi:10.1142/S0218348X13500229

Lipschitz equivalence of mcmullen sets

Boming Li
, Wenxia Li
, Jun Jie Miao^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

24 Scopus citations

Abstract

Let sets E and F be McMullen sets with the same number of rectangles in each line. We show that E and F are Lipschitz equivalent if they are dust-like or they satisfy the horizontal block separation condition (HBSC).

Original language	English
Article number	1350022
Journal	Fractals
Volume	21
Issue number	3-4
DOIs	https://doi.org/10.1142/S0218348X13500229
State	Published - 2013

Keywords

Fractal
Lipschitz Equivalence
McMullen Set
Self-Affine

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10.1142/S0218348X13500229

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title = "Lipschitz equivalence of mcmullen sets",

abstract = "Let sets E and F be McMullen sets with the same number of rectangles in each line. We show that E and F are Lipschitz equivalent if they are dust-like or they satisfy the horizontal block separation condition (HBSC).",

keywords = "Fractal, Lipschitz Equivalence, McMullen Set, Self-Affine",

author = "Boming Li and Wenxia Li and Miao, \{Jun Jie\}",

year = "2013",

doi = "10.1142/S0218348X13500229",

language = "英语",

volume = "21",

journal = "Fractals",

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T1 - Lipschitz equivalence of mcmullen sets

AU - Li, Boming

AU - Li, Wenxia

AU - Miao, Jun Jie

PY - 2013

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N2 - Let sets E and F be McMullen sets with the same number of rectangles in each line. We show that E and F are Lipschitz equivalent if they are dust-like or they satisfy the horizontal block separation condition (HBSC).

AB - Let sets E and F be McMullen sets with the same number of rectangles in each line. We show that E and F are Lipschitz equivalent if they are dust-like or they satisfy the horizontal block separation condition (HBSC).

KW - Fractal

KW - Lipschitz Equivalence

KW - McMullen Set

KW - Self-Affine

UR - https://www.scopus.com/pages/publications/84890349363

U2 - 10.1142/S0218348X13500229

DO - 10.1142/S0218348X13500229

M3 - 文章

AN - SCOPUS:84890349363

SN - 0218-348X

VL - 21

JO - Fractals

JF - Fractals

IS - 3-4

M1 - 1350022

ER -

Lipschitz equivalence of mcmullen sets

Abstract

Keywords

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