Convergence in law of the maximum of nonlattice branching random walk

@article{Bramson2014ConvergenceIL,
  title={Convergence in law of the maximum of nonlattice branching random walk},
  author={M. Bramson and J. Ding and O. Zeitouni},
  journal={arXiv: Probability},
  year={2014}
}
  • M. Bramson, J. Ding, O. Zeitouni
  • Published 2014
  • Mathematics
  • arXiv: Probability
  • 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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