IDEAS home Printed from https://ideas.repec.org/a/spr/jotpro/v28y2015i2d10.1007_s10959-013-0494-z.html
   My bibliography  Save this article

The Almost Sure Limits of the Minimal Position and the Additive Martingale in a Branching Random Walk

Author

Listed:
  • Yueyun Hu

    (Université Paris 13)

Abstract

Consider a real-valued branching random walk in the boundary case. Using the techniques developed by Aïdékon and Shi (2012), we give two integral tests which describe, respectively, the lower limits for the minimal position and the upper limits for the associated additive martingale.

Suggested Citation

  • Yueyun Hu, 2015. "The Almost Sure Limits of the Minimal Position and the Additive Martingale in a Branching Random Walk," Journal of Theoretical Probability, Springer, vol. 28(2), pages 467-487, June.
    • Handle: RePEc:spr:jotpro:v:28:y:2015:i:2:d:10.1007_s10959-013-0494-z
    DOI: 10.1007/s10959-013-0494-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10959-013-0494-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10959-013-0494-z?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. Chauvin, Brigitte & Rouault, Alain & Wakolbinger, Anton, 1991. "Growing conditioned trees," Stochastic Processes and their Applications, Elsevier, vol. 39(1), pages 117-130, October.
    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. Shen Lin, 2018. "Typical Behavior of the Harmonic Measure in Critical Galton–Watson Trees with Infinite Variance Offspring Distribution," Journal of Theoretical Probability, Springer, vol. 31(3), pages 1469-1511, September.
    2. Wilkinson, Richard D. & Tavaré, Simon, 2009. "Estimating primate divergence times by using conditioned birth-and-death processes," Theoretical Population Biology, Elsevier, vol. 75(4), pages 278-285.
    3. Vincent Bansaye, 2019. "Ancestral Lineages and Limit Theorems for Branching Markov Chains in Varying Environment," Journal of Theoretical Probability, Springer, vol. 32(1), pages 249-281, March.
    4. Bienvenu, François & Débarre, Florence & Lambert, Amaury, 2019. "The split-and-drift random graph, a null model for speciation," Stochastic Processes and their Applications, Elsevier, vol. 129(6), pages 2010-2048.

    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:spr:jotpro:v:28:y:2015:i:2:d:10.1007_s10959-013-0494-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.