Mean geodesic distance of the level-n Sierpinski gasket

In this paper, we obtain the mean geodesic distance of the level-n Sierpinski gasket by investigating the integral of geodesic distance with respect to self-similar measure by means of the finite pattern phenomenon of integrals.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 508; no. 1; p. 125853
Main Authors Gu, Jiangwen, Fan, Jiaqi, Ye, Qianqian, Xi, Lifeng
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.2022
Subjects
Fractal
Level-n Sierpinski gasket
Mean geodesic distance
Self-similar measure
Self-similar measure
Fractal
Level-n Sierpinski gasket
Mean geodesic distance
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Summary:In this paper, we obtain the mean geodesic distance of the level-n Sierpinski gasket by investigating the integral of geodesic distance with respect to self-similar measure by means of the finite pattern phenomenon of integrals.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125853