Discrete homogeneous Moran sets on Z

IF 5.3 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Yi Lu, Jingjing Chen, Lifeng Xi
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引用次数: 0

Abstract

Moran fractal (Wen, 2001) is significant in the field of Fractal Geometry. The discrete Moran sets on Z with the same expansion factor was discussed in Yao et al. (2024). This paper explores the fractal dimensions of discrete homogeneous Moran sets on Z, where each step involves a distinct expansion factor.
Z上的离散齐次Moran集合
Moran分形(Wen, 2001)在分形几何领域具有重要意义。Yao et al.(2024)讨论了Z上具有相同展开因子的离散Moran集。本文研究了Z上离散齐次Moran集的分形维数,其中每一步涉及一个不同的展开因子。
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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