Self-similar structure on intersection of homogeneous symmetric Cantor sets

Wenxia Li; Yuanyuan Yao; Yunxiu Zhang

doi:10.1002/mana.200710104

Self-similar structure on intersection of homogeneous symmetric Cantor sets

Wenxia Li, Yuanyuan Yao, Yunxiu Zhang

School of Mathematical Sciences

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

8 Scopus citations

Abstract

For a homogeneous symmetric Cantor set C, we consider all real numbers tsuch that the intersection C∩(C + t)is a self-similar set and investigate the form of the corresponding iterated function systems.

Original language	English
Pages (from-to)	298-316
Number of pages	19
Journal	Mathematische Nachrichten
Volume	284
Issue number	2-3
DOIs	https://doi.org/10.1002/mana.200710104
State	Published - Feb 2011

Keywords

Homogeneous symmetric Cantor sets
Intersection
Iterated function systems
Self-similar structure

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10.1002/mana.200710104

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title = "Self-similar structure on intersection of homogeneous symmetric Cantor sets",

abstract = "For a homogeneous symmetric Cantor set C, we consider all real numbers tsuch that the intersection C∩(C + t)is a self-similar set and investigate the form of the corresponding iterated function systems.",

keywords = "Homogeneous symmetric Cantor sets, Intersection, Iterated function systems, Self-similar structure",

author = "Wenxia Li and Yuanyuan Yao and Yunxiu Zhang",

year = "2011",

month = feb,

doi = "10.1002/mana.200710104",

language = "英语",

volume = "284",

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T1 - Self-similar structure on intersection of homogeneous symmetric Cantor sets

AU - Li, Wenxia

AU - Yao, Yuanyuan

AU - Zhang, Yunxiu

PY - 2011/2

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N2 - For a homogeneous symmetric Cantor set C, we consider all real numbers tsuch that the intersection C∩(C + t)is a self-similar set and investigate the form of the corresponding iterated function systems.

AB - For a homogeneous symmetric Cantor set C, we consider all real numbers tsuch that the intersection C∩(C + t)is a self-similar set and investigate the form of the corresponding iterated function systems.

KW - Homogeneous symmetric Cantor sets

KW - Intersection

KW - Iterated function systems

KW - Self-similar structure

UR - https://www.scopus.com/pages/publications/79951781059

U2 - 10.1002/mana.200710104

DO - 10.1002/mana.200710104

M3 - 文章

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SN - 0025-584X

VL - 284

SP - 298

EP - 316

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 2-3

ER -

Self-similar structure on intersection of homogeneous symmetric Cantor sets

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Keywords

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