IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i10p2081-2091.html
   My bibliography  Save this article

Rigorous properties and uncertainty-like relationships on product-complexity measures: Application to atomic systems

Author

Listed:
  • López-Rosa, S.
  • Angulo, J.C.
  • Antolín, J.

Abstract

Most of research on complexities and the corresponding conclusions have been obtained by numerically quantifying their values, and little attention has been paid to their theoretical properties and the exact meaning within an statistical framework, valid for any arbitrary n-dimensional distribution. In the present work, different product-complexities, constructed as a product of two relevant information quantities associated to the concepts of uncertainty and localization are investigated. Different results on product-complexities, such as rigorous bounds, uncertainty-like inequalities, relationships among themselves and also statistical interpretations are given. For the sake of completeness, some of these analytical results on product-complexities are numerically checked for the one-particle densities of atomic systems in both conjugated spaces.

Suggested Citation

  • López-Rosa, S. & Angulo, J.C. & Antolín, J., 2009. "Rigorous properties and uncertainty-like relationships on product-complexity measures: Application to atomic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2081-2091.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:10:p:2081-2091
    DOI: 10.1016/j.physa.2009.01.037
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437109000892
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2009.01.037?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. Angulo, J. & Angulo, J.C. & Angulo, J.M., 2018. "An application of information theory to stochastic classical gravitational fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 129-141.

    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:phsmap:v:388:y:2009:i:10:p:2081-2091. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.