Dimensions of intersections of the sierpinski carpet with lines of rational slopes

Qing Hui Liu; Li Feng Xi; Yan Fen Zhao

doi:10.1017/S0013091505000428

Dimensions of intersections of the sierpinski carpet with lines of rational slopes

Qing Hui Liu^*, Li Feng Xi, Yan Fen Zhao

^*Corresponding author for this work

School of Mathematics and Statistics

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

18 Citations (Scopus)

Abstract

This paper computes the Box and Hausdorff dimensions of the intersections of the Sierpinski carpet with planar lines of rational slopes.

Original language	English
Pages (from-to)	411-428
Number of pages	18
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	50
Issue number	2
DOIs	https://doi.org/10.1017/S0013091505000428
Publication status	Published - Jun 2007

Keywords

Dimension
Ergodic theory
Fractal
Sierpinski carpet

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10.1017/S0013091505000428

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title = "Dimensions of intersections of the sierpinski carpet with lines of rational slopes",

abstract = "This paper computes the Box and Hausdorff dimensions of the intersections of the Sierpinski carpet with planar lines of rational slopes.",

keywords = "Dimension, Ergodic theory, Fractal, Sierpinski carpet",

author = "Liu, {Qing Hui} and Xi, {Li Feng} and Zhao, {Yan Fen}",

year = "2007",

month = jun,

doi = "10.1017/S0013091505000428",

language = "English",

volume = "50",

pages = "411--428",

journal = "Proceedings of the Edinburgh Mathematical Society",

issn = "0013-0915",

publisher = "Cambridge University Press",

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T1 - Dimensions of intersections of the sierpinski carpet with lines of rational slopes

AU - Liu, Qing Hui

AU - Xi, Li Feng

AU - Zhao, Yan Fen

PY - 2007/6

Y1 - 2007/6

N2 - This paper computes the Box and Hausdorff dimensions of the intersections of the Sierpinski carpet with planar lines of rational slopes.

AB - This paper computes the Box and Hausdorff dimensions of the intersections of the Sierpinski carpet with planar lines of rational slopes.

KW - Dimension

KW - Ergodic theory

KW - Fractal

KW - Sierpinski carpet

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U2 - 10.1017/S0013091505000428

DO - 10.1017/S0013091505000428

M3 - Article

AN - SCOPUS:34249092001

SN - 0013-0915

VL - 50

SP - 411

EP - 428

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 2

ER -

Dimensions of intersections of the sierpinski carpet with lines of rational slopes

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Keywords

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