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^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1422-1432
页数	11
期刊	Journal of Mathematical Analysis and Applications
卷	340
期	2
DOI	https://doi.org/10.1016/j.jmaa.2007.09.057
出版状态	已出版 - 15 4月 2008

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10.1016/j.jmaa.2007.09.057

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@article{5be4ed23db8947c2a2f95238522b3907,

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",

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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

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