Large deviations for the maximum of a branching random walk with stretched exponential tails
Large deviations for the maximum of a branching random walk with stretched exponential tails
We prove large deviation results for the position of the rightmost particle, denoted by $M_{n}$, in a one-dimensional branching random walk in a case when Cramér’s condition is not satisfied. More precisely we consider step size distributions with stretched exponential upper and lower tails, i.e. both tails decay as $e^{-\Theta …