Convergence in law of the maximum of nonlattice branching random walk

@inproceedings{Bramson2014ConvergenceIL,
title={Convergence in law of the maximum of nonlattice branching random walk},
author={Maury Bramson and Jian Ding and Ofer Zeitouni},
year={2014}
}
Let $\eta^*_n$ denote the maximum, at time $n$, of a nonlattice one-dimensional branching random walk $\eta_n$ possessing (enough) exponential moments. In a seminal paper, Aidekon demonstrated convergence of $\eta^*_n$ in law, after recentering, and gave a representation of the limit. We give here a shorter proof of this convergence by employing reasoning motivated by Bramson, Ding and Zeitouni. Instead of spine methods and a careful analysis of the renewal measure for killed random walks, our… CONTINUE READING

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