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arXiv:1211.5309 [math.PR]AbstractReferencesReviewsResources

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

Yueyun Hu

Published 2012-11-22, updated 2013-04-15Version 2

Consider a real-valued branching random walk in the boundary case. Using the techniques developed by A\"id\'ekon 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.

Comments: Revised version for Journal of Theoretical Probability
Categories: math.PR
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