AVERAGE DISTANCE OF SIERPINSKI-LIKE CARPET-Reference-Cited by-同舟云学术

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AVERAGE DISTANCE OF SIERPINSKI-LIKE CARPET

Published:2021-04-19 Issue:04 Volume:29 Page:2150091
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

MA YING¹,WANG QIN²,ZHANG KAI³^ORCID

Affiliation:

1. School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China

2. College of Big Data and Software Engineering, Zhejiang Wanli University, Ningbo 315101, P. R. China

3. Junior College, Zhejiang Wanli University, Ningbo 315101, P. R. China

Abstract

The geodesic structures on self-similar fractals are interesting. One feature of geodesic structures is average distance on fractal. We investigate the Sierpinski-like carpet and obtain the average distance in terms of self-similar measure.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21500912

Reference14 articles.

1. Mathematical Foundation and Applications;Falconer K. J.,1991

2. Manhattan property of geodesic paths on self-affine carpets

3. Differentiable points of Sierpinski-like sponges

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Scaling Region of Weierstrass-Mandelbrot Function: Improvement Strategies for Fractal Ideality and Signal Simulation;Fractal and Fractional;2022-09-26

2. Scaling of average receiving time and average weighted shortest path on weighted-crystal network;Journal of Statistical Mechanics: Theory and Experiment;2021-08-01

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