IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v27y2006i1p57-73.html
   My bibliography  Save this article

A multifractal formalism in a probability space

Author

Listed:
  • Li, Yueling
  • Dai, Chaoshou

Abstract

In this paper, we mainly research a multifractal formalism in a probability space.The first objective of this paper is to define a multifractal generalisation of the Hausdorff measure and the packing measure. We explore the properties of the multifractal Hausdorff measure and the multifractal packing measure in a probability space, and invesigate the relative results of multifractal spectra functions in a probability space. We also describe a sufficient condion and a necessary one of validity for the multifractal formalism in a probability space.

Suggested Citation

  • Li, Yueling & Dai, Chaoshou, 2006. "A multifractal formalism in a probability space," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 57-73.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:1:p:57-73
    DOI: 10.1016/j.chaos.2004.11.088
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077904007659
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2004.11.088?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Khelifi, Mounir & Lotfi, Hela & Samti, Amal & Selmi, Bilel, 2020. "A relative multifractal analysis," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Wang, Xiao-Feng & Gao, Hongwei & Jinshun, Feng, 2009. "The characterization of vector-valued multivariate wavelet packets associated with a dilation matrix," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1959-1966.
    3. Bhouri, Imen, 2009. "On the projections of generalized upper Lq-spectrum," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1451-1462.
    4. Ma, Dongkui & Wu, Min & Liu, Cuijun, 2008. "The entropies and multifractal spectrum of some compact systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 840-851.
    5. Chen, Qing-Jiang & Qu, Xiao-Gang, 2009. "Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1676-1683.
    6. Zheng, Shuicao & Lin, Huonan, 2007. "A characterization of self-similar measures," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1613-1621.
    7. Iovane, G. & Chinnici, M. & Tortoriello, F.S., 2008. "Multifractals and El Naschie E-infinity Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 645-658.
    8. Li, Yueling & Dai, Chaoshou, 2007. "Multifractal dimension inequalities in a probability space," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 213-223.

    More about this item

    Statistics

    Access and download statistics

    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:27:y:2006:i:1:p:57-73. 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.