Fractal dimensions of discrete Moran sets

Yiqi Yao, Caimin Du and Lifeng Xi

Chaos, Solitons & Fractals, 2024, vol. 189, issue P1

Abstract: Fractal dimensions and the iterated function system play important roles in Fractal Geometry on Euclidean spaces. On discrete metric space, fractal dimensions and the reverse iterated function system were introduced in the 1990’s. In this article, we discuss a family of discrete fractals with Moran structures inspired by Wen’s work and study formulas of their fractal dimensions. Moreover, we obtain the fractal dimensions for Moran classes generated by Sturmian sequence.

Keywords: Fractal; Discrete Moran set; Fractal dimension (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011470

DOI: 10.1016/j.chaos.2024.115595

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