论文标题
随机在随机环境中随机行走的随后紧密度
Subsequential tightness for branching random walk in random environment
论文作者
论文摘要
我们考虑在随机环境（BRWRE）中进行随机行走，并证明存在确定性子序列的存在，其最大值以其平均值为中心。这部分回答了Arxiv：1711.00852的一个空旷问题。证明的方法适应了由Dekking开发的参数和主机以有限的增量进行分支随机步行。无需子序的紧密性问题仍然开放。
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.
