Average geodesic distance on stretched Sierpiński gasket. (September 2021)

• Record Type: Journal Article
• Authors: Li, Yuanyuan; Fan, jiaqi; Xi, lifeng
• Is Part Of: Chaos, solitons and fractals. Volume 150(2021)
• Publication Date: 2021-09
• Subjects: Stretched Sierpiński gasket -- Average geodesic distance -- Finite pattern; 28A80; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111120
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: The average distance on stretched Sierspinski gasket is calculated. The integral of geodesic distances in terms of a local-self-similar measure is established. The finite patterns of integrals are used. Abstract: The stretched Sierpiński gasket is a local self-similar set, but not strictly self-similar. By the local self-similarity of scale and measure, we calculate its average geodesic distance within the gasket by the method of finite pattern.