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

Yueyun Hu ()
Additional contact information
Yueyun Hu: Université Paris 13

Journal of Theoretical Probability, 2015, vol. 28, issue 2, 467-487

Abstract: 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.

Keywords: Branching random walk; Minimal position; Additive martingale; Integral tests; 60J80; 60F15 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10959-013-0494-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:28:y:2015:i:2:d:10.1007_s10959-013-0494-z

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-013-0494-z

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().