IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v174y2023ics0960077923007191.html
   My bibliography  Save this article

On the multifractal measures and dimensions of image measures on a class of Moran sets

Author

Listed:
  • Attia, Najmeddine
  • Selmi, Bilel

Abstract

On a Moran set meeting the strong separation requirement, we examine a family of multifractal Hausdorff and packing measures and dimensions in this study. Let φ∗π be the image measure of ergodic Borel probability measure π and measurable function φ. Entropy is used to calculate the formula for the dimension of the multifractal measure of φ∗π. Moreover, some statistical interpretations, on a class of Moran sets, of the dimensions and corresponding geometrical measures are also supported. Finally, a specific illustration of a measure that satisfies the aforementioned criteria is created.

Suggested Citation

  • Attia, Najmeddine & Selmi, Bilel, 2023. "On the multifractal measures and dimensions of image measures on a class of Moran sets," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007191
    DOI: 10.1016/j.chaos.2023.113818
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923007191
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.113818?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.

    References listed on IDEAS

    as
    1. Najmeddine Attia & Bilel Selmi, 2023. "On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets," Mathematics, MDPI, vol. 11(6), pages 1-14, March.
    2. DOUZI, Zied & SELMI, Bilel, 2016. "Multifractal variation for projections of measures," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 414-420.
    3. Khelifi, Mounir & Lotfi, Hela & Samti, Amal & Selmi, Bilel, 2020. "A relative multifractal analysis," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Douzi, Zied & Selmi, Bilel, 2019. "Regularities of general Hausdorff and packing functions," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 240-243.
    5. Dai, Meifeng & Jiang, Ying, 2009. "The equivalence of multifractal measures on cookie-cutter-like sets," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1408-1415.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:174:y:2023:i:c:s0960077923007191. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.