Self-similar structure on intersection of Cartesian product of Cantor triadic sets with their translations

Yuanyuan Yao; Wenxia Li

doi:10.1007/s00605-011-0312-6

Self-similar structure on intersection of Cartesian product of Cantor triadic sets with their translations

Yuanyuan Yao, Wenxia Li

School of Mathematical Sciences

East China University of Science and Technology

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

1 Scopus citations

Abstract

Let C be the classical Cantor triadic set. For α, β ∈ [-1, 1], a sufficient and necessary condition for (C × C) ∩ (C × C + (α β)) to be self-similar is obtained.

Original language	English
Pages (from-to)	591-600
Number of pages	10
Journal	Monatshefte fur Mathematik
Volume	166
Issue number	3-4
DOIs	https://doi.org/10.1007/s00605-011-0312-6
State	Published - Jun 2012

Keywords

Cantor triadic set
Cartesian product
Intersection
Self-similar structure

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10.1007/s00605-011-0312-6

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title = "Self-similar structure on intersection of Cartesian product of Cantor triadic sets with their translations",

abstract = "Let C be the classical Cantor triadic set. For α, β ∈ [-1, 1], a sufficient and necessary condition for (C × C) ∩ (C × C + (α β)) to be self-similar is obtained.",

keywords = "Cantor triadic set, Cartesian product, Intersection, Self-similar structure",

author = "Yuanyuan Yao and Wenxia Li",

year = "2012",

month = jun,

doi = "10.1007/s00605-011-0312-6",

language = "英语",

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T1 - Self-similar structure on intersection of Cartesian product of Cantor triadic sets with their translations

AU - Yao, Yuanyuan

AU - Li, Wenxia

PY - 2012/6

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N2 - Let C be the classical Cantor triadic set. For α, β ∈ [-1, 1], a sufficient and necessary condition for (C × C) ∩ (C × C + (α β)) to be self-similar is obtained.

AB - Let C be the classical Cantor triadic set. For α, β ∈ [-1, 1], a sufficient and necessary condition for (C × C) ∩ (C × C + (α β)) to be self-similar is obtained.

KW - Cantor triadic set

KW - Cartesian product

KW - Intersection

KW - Self-similar structure

UR - https://www.scopus.com/pages/publications/84861643045

U2 - 10.1007/s00605-011-0312-6

DO - 10.1007/s00605-011-0312-6

M3 - 文章

AN - SCOPUS:84861643045

SN - 0026-9255

VL - 166

SP - 591

EP - 600

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3-4

ER -

Self-similar structure on intersection of Cartesian product of Cantor triadic sets with their translations

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Keywords

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