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A short proof of the asymptotic of the minimum of the branching random walk after time $n$

Published 19 Jul 2016 in math.PR | (1607.05501v1)

Abstract: We write $R_n$ for the minimal position attained after time $n$ by a branching random walk in the boundary case. In this article, we prove that $R_n - \frac{1}{2} \log n$ converges in law toward a shifted Gumbel distribution.

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