The almost sure limits of the minimal position and the additive martingale in a branching random walk. - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2012

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

Yueyun Hu
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Résumé

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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Dates et versions

hal-00755972 , version 1 (22-11-2012)
hal-00755972 , version 2 (15-04-2013)

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Yueyun Hu. The almost sure limits of the minimal position and the additive martingale in a branching random walk.. 2012. ⟨hal-00755972v2⟩
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