Establishes O(1)-tightness for first passage times of d-dimensional branching random walks as distance x tends to infinity, resolving a prior conjecture.
Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees.Annals of Probability, 37(2):742–789
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Tightness Analysis of First Passage Times of $d$-Dimensional Branching Random Walk
Establishes O(1)-tightness for first passage times of d-dimensional branching random walks as distance x tends to infinity, resolving a prior conjecture.