{"title":"Discrete homogeneous Moran sets on Z","authors":"Yi Lu, Jingjing Chen, Lifeng Xi","doi":"10.1016/j.chaos.2025.116382","DOIUrl":null,"url":null,"abstract":"<div><div>Moran fractal (Wen, 2001) is significant in the field of Fractal Geometry. The discrete Moran sets on <span><math><mi>Z</mi></math></span> with the same expansion factor was discussed in Yao et al. (2024). This paper explores the fractal dimensions of discrete homogeneous Moran sets on <span><math><mi>Z</mi></math></span>, where each step involves a distinct expansion factor.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116382"},"PeriodicalIF":5.3000,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925003959","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
Moran fractal (Wen, 2001) is significant in the field of Fractal Geometry. The discrete Moran sets on with the same expansion factor was discussed in Yao et al. (2024). This paper explores the fractal dimensions of discrete homogeneous Moran sets on , where each step involves a distinct expansion factor.
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.