IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v189y2024ip1s0960077924011470.html
   My bibliography  Save this article

Fractal dimensions of discrete Moran sets

Author

Listed:
  • Yao, Yiqi
  • Du, Caimin
  • Xi, Lifeng

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.

Suggested Citation

  • Yao, Yiqi & Du, Caimin & Xi, Lifeng, 2024. "Fractal dimensions of discrete Moran sets," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011470
    DOI: 10.1016/j.chaos.2024.115595
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924011470
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115595?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011470. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.