| Issue |
ESAIM: PS
Volume 23, 2019
|
|
|---|---|---|
| Page(s) | 823 - 840 | |
| DOI | https://doi.org/10.1051/ps/2019006 | |
| Published online | 24 December 2019 | |
Large deviation estimates for branching random walks*
Instytut Matematyczny, Uniwersytet Wroclawski,
pl. Grunwaldzki 2/4,
50-384
Wroclaw, Poland.
** Corresponding author: dbura@math.uni.wroc.pl
Received:
18
June
2018
Accepted:
1
April
2019
For the branching random walk drifting to −∞ we study large deviations-type estimates for the first passage time. We prove the corresponding law of large numbers and the central limit theorem.
Mathematics Subject Classification: 60F10 / 60G50 / 60J80
Key words: Branching random walk / random walk / large deviations / first passage time
© EDP Sciences, SMAI 2019
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