IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v01y1990i01ns0129183190000086.html
   My bibliography  Save this article

Recursive Sampling Of Planar Graphs And Fractal Properties Of A Two-Dimensional Quantum Gravity

Author

Listed:
  • MICHAEL E. AGISHTEIN

    (Physics Department and Program in Applied and Computational Mathematics, Princeton University, Fine Hall, Princeton, NJ 08544, USA)

  • ALEXANDER A. MIGDAL

    (Physics Department and Program in Applied and Computational Mathematics, Princeton University, Fine Hall, Princeton, NJ 08544, USA)

Abstract

We describe a new approach to the Monte-Carlo simulations of two-dimensional gravity. Standard dynamical triangulation technique was combined with results of direct enumeration of the cubic graphs. As a result we were able to build large (128K vertices) statistically independent random graphs directly. The quantitative correspondence between our results and those obtained by standard methods has been observed. The algorithm proved to be so efficient that we were able to conduct all the simulations, which usually require the most powerful computers, on an Iris workstation.An opportunity to generate large random graphs allowed us to observe that the internal geometry of random surfaces is more complicated than simple fractals. External geometry also proved to be rather peculiar.

Suggested Citation

  • Michael E. Agishtein & Alexander A. Migdal, 1990. "Recursive Sampling Of Planar Graphs And Fractal Properties Of A Two-Dimensional Quantum Gravity," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 165-179.
    • Handle: RePEc:wsi:ijmpcx:v:01:y:1990:i:01:n:s0129183190000086
    DOI: 10.1142/S0129183190000086
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183190000086
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183190000086?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.

    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:wsi:ijmpcx:v:01:y:1990:i:01:n:s0129183190000086. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.