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arXiv · 1211.5309

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

Yueyun Hu
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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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Yueyun Hu. 2013-04-15. The almost sure limits of the minimal position and the additive martingale in a branching random walk. https://doi.org/10.1017/s144678871400086x

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