Subsequential tightness for branching random walk in random environment
Probability
2022-05-25 v3
Abstract
We consider branching random walk in random environment (BRWRE) and prove the existence of deterministic subsequences along which their maximum, centered at its mean, is tight. This partially answers an open question in arXiv:1711.00852. The method of proof adapts an argument developed by Dekking and Host for branching random walks with bounded increments. The question of tightness without the need for subsequences remains open.
Cite
@article{arxiv.2010.03340,
title = {Subsequential tightness for branching random walk in random environment},
author = {Xaver Kriechbaum},
journal= {arXiv preprint arXiv:2010.03340},
year = {2022}
}
Comments
15 pages