A class of Sierpinski carpets with overlaps

Yuru Zou; Yuanyuan Yao; Wenxia Li

doi:10.1016/j.jmaa.2007.09.057

A class of Sierpinski carpets with overlaps

Yuru Zou
, Yuanyuan Yao
, Wenxia Li^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

2 Scopus citations

Abstract

Based on a scheme by Lau and Ngai, a sufficient and necessary condition for an IFS of contractive similitudes to satisfy the open set condition is given. A class of Sierpinski carpets with parameters (λ₁, λ₂) is then investigated.

Original language	English
Pages (from-to)	1422-1432
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	340
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.09.057
State	Published - 15 Apr 2008

Keywords

(No) complete overlap
Generalized finite type
Hausdorff dimension

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10.1016/j.jmaa.2007.09.057

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title = "A class of Sierpinski carpets with overlaps",

abstract = "Based on a scheme by Lau and Ngai, a sufficient and necessary condition for an IFS of contractive similitudes to satisfy the open set condition is given. A class of Sierpinski carpets with parameters (λ1, λ2) is then investigated.",

keywords = "(No) complete overlap, Generalized finite type, Hausdorff dimension",

author = "Yuru Zou and Yuanyuan Yao and Wenxia Li",

year = "2008",

month = apr,

day = "15",

doi = "10.1016/j.jmaa.2007.09.057",

language = "英语",

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pages = "1422--1432",

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TY - JOUR

T1 - A class of Sierpinski carpets with overlaps

AU - Zou, Yuru

AU - Yao, Yuanyuan

AU - Li, Wenxia

PY - 2008/4/15

Y1 - 2008/4/15

N2 - Based on a scheme by Lau and Ngai, a sufficient and necessary condition for an IFS of contractive similitudes to satisfy the open set condition is given. A class of Sierpinski carpets with parameters (λ1, λ2) is then investigated.

AB - Based on a scheme by Lau and Ngai, a sufficient and necessary condition for an IFS of contractive similitudes to satisfy the open set condition is given. A class of Sierpinski carpets with parameters (λ1, λ2) is then investigated.

KW - (No) complete overlap

KW - Generalized finite type

KW - Hausdorff dimension

UR - https://www.scopus.com/pages/publications/38049012864

U2 - 10.1016/j.jmaa.2007.09.057

DO - 10.1016/j.jmaa.2007.09.057

M3 - 文章

AN - SCOPUS:38049012864

SN - 0022-247X

VL - 340

SP - 1422

EP - 1432

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A class of Sierpinski carpets with overlaps

Abstract

Keywords

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