IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v23y2005i4p1201-1209.html
   My bibliography  Save this article

The Laplacian on the level 3 Sierpinski gasket via the method of averages

Author

Listed:
  • Donglei, Tang
  • Weiyi, SU

Abstract

In this paper, we show how the symmetric Laplacian on the level 3 Sierpinski gasket, together with its associated Dirichlet form and harmonic functions, can be defined entirely in terms of average values of a function over basic sets. The approach combined the constructive limit-of-difference-quotients method of Kigami and the method of averages introduced by Kusuoka and Zhou for the Sierpinski carpet.

Suggested Citation

  • Donglei, Tang & Weiyi, SU, 2005. "The Laplacian on the level 3 Sierpinski gasket via the method of averages," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1201-1209.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1201-1209
    DOI: 10.1016/j.chaos.2004.06.060
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077904003625
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2004.06.060?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. Tang, Donglei, 2011. "The Laplacian on p.c.f. self-similar sets via the method of averages," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 538-547.
    2. Donglei, Tang & Weiyi, Su, 2007. "The Laplacian on β-sets via the method of averages," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 147-154.
    3. Hu, Zhongren & Wu, Bo, 2023. "The average shortest distance of three colored substitution networks," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

    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:23:y:2005:i:4:p:1201-1209. 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.