IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v127y2017icp178-184.html
   My bibliography  Save this article

Mean field limit for survival probability of the high-dimensional contact process

Author

Listed:
  • Xue, Xiaofeng

Abstract

In this paper we are concerned with the contact process on the hypercube lattice Zd. The contact process intuitively describes the spread of the infectious disease on a graph, where an infectious vertex becomes healthy at a constant rate while a healthy vertex is infected at rate proportional to the number of infectious neighbors. As the dimension of the lattice grows to infinity, we give a mean field limit for the survival probability of the process conditioned on the event that only the origin of the lattice is infected at t=0. The binary contact path process is a main auxiliary tool for our proof.

Suggested Citation

  • Xue, Xiaofeng, 2017. "Mean field limit for survival probability of the high-dimensional contact process," Statistics & Probability Letters, Elsevier, vol. 127(C), pages 178-184.
  • Handle: RePEc:eee:stapro:v:127:y:2017:i:c:p:178-184
    DOI: 10.1016/j.spl.2017.04.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715217301499
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.spl.2017.04.010?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. Xue, Xiaofeng, 2019. "Priority of the result in ‘Mean field limit for survival probability of the high-dimensional contact process’," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 133-133.

    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:stapro:v:127:y:2017:i:c:p:178-184. 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.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.