IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v191y2025ics0960077924014371.html
   My bibliography  Save this article

System of telegraph particles with finite moments of the first collision instant of particles

Author

Listed:
  • Pogorui, Anatoliy A.
  • Rodríguez-Dagnino, Ramón M.

Abstract

This paper deals with a system of interacting telegraph particles starting with different positions on a straight line. It is well-known that the instant of the first collision of two telegraph particle, that starts from different points on a line, has an infinite expectation. Our goal is to find a sufficient number of particles of the system such that the minimum of the first collision instants for these particles has finite nth order moments. In particular, finite expectation, finite variance, etc. However, the distribution of this minimum depends on first collisions of all pairs of adjacent particles, and these collisions are dependent random variables, which introduces some difficulties in the analysis.

Suggested Citation

  • Pogorui, Anatoliy A. & Rodríguez-Dagnino, Ramón M., 2025. "System of telegraph particles with finite moments of the first collision instant of particles," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
  • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014371
    DOI: 10.1016/j.chaos.2024.115885
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924014371
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2024.115885?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.

    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:191:y:2025:i:c:s0960077924014371. 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.