IDEAS home Printed from https://ideas.repec.org/a/bpj/mcmeap/v16y2010i3-4p399-420n9.html
   My bibliography  Save this article

Random and deterministic fragmentation models

Author

Listed:
  • Wagner Wolfgang

    (Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, D–10117 Berlin, Germany. E-mail:)

Abstract

Random and deterministic fragmentation models are considered. Their relationship is studied by deriving different forms of the kinetic fragmentation equation from the corresponding stochastic models. Results related to the problem of non-conservation of mass (phase transition into dust) are discussed. Illustrative examples are given and some open problems are mentioned.

Suggested Citation

  • Wagner Wolfgang, 2010. "Random and deterministic fragmentation models," Monte Carlo Methods and Applications, De Gruyter, vol. 16(3-4), pages 399-420, January.
    • Handle: RePEc:bpj:mcmeap:v:16:y:2010:i:3-4:p:399-420:n:9
    DOI: 10.1515/mcma.2010.016
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/mcma.2010.016
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/mcma.2010.016?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. Haas, Bénédicte, 2003. "Loss of mass in deterministic and random fragmentations," Stochastic Processes and their Applications, Elsevier, vol. 106(2), pages 245-277, August.
    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.
    1. Bénédicte Haas, 2007. "Fragmentation Processes with an Initial Mass Converging to Infinity," Journal of Theoretical Probability, Springer, vol. 20(4), pages 721-758, December.
    2. Cepeda, Eduardo, 2016. "Stochastic coalescence multi-fragmentation processes," Stochastic Processes and their Applications, Elsevier, vol. 126(2), pages 360-391.
    3. Bertoin, Jean, 2006. "Different aspects of a random fragmentation model," Stochastic Processes and their Applications, Elsevier, vol. 116(3), pages 345-369, March.
    4. Bertoin, Jean, 2004. "On small masses in self-similar fragmentations," Stochastic Processes and their Applications, Elsevier, vol. 109(1), pages 13-22, January.

    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:bpj:mcmeap:v:16:y:2010:i:3-4:p:399-420:n:9. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.