Precise upper deviation estimates for the maximum of a branching random walk
Probability
2025-02-04 v1
Abstract
We consider the precise upper large deviations estimates for the maximal displacement of a branching random walk. In addition, we obtain a description of the extremal process of the branching random walk conditioned on this large deviations event. This introduces a family of point measure playing a role similar to the decoration measures introduced in [9] for branching Brownian motion.
Cite
@article{arxiv.2403.03687,
title = {Precise upper deviation estimates for the maximum of a branching random walk},
author = {Lianghui Luo},
journal= {arXiv preprint arXiv:2403.03687},
year = {2025}
}
Comments
31 pages