The almost sure limits of the minimal position and the additive martingale in a branching random walk

2012/11/30 by Yueyun Hu · 1 citation
Mathematics · #math.PR

paper · pdf · doi:10.1017/s144678871400086x

published as Journal of the Australian Mathematical Society 99 (2015) 63-75 · Revised version for Journal of Theoretical Probability

arxiv created 2013/04/15 · arxiv updated 2015/07/01

Abstract

Consider a real-valued branching random walk in the boundary case. Using the techniques developed by Aïdékon and Shi [5], we give two integral tests which describe respectively the lower limits for the minimal position and the upper limits for the associated additive martingale.

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