论文标题
在无穷大的边界上进行分支随机步行
On the boundary at infinity for branching random walk
论文作者
论文摘要
我们证明，在瞬态图上，超临界分支随机步行几乎可以肯定地缩放到图表的马丁边界上的随机度量。提出了有关此限制措施的几个开放问题和猜想。
We prove that supercritical branching random walk on a transient graph converges almost surely under rescaling to a random measure on the Martin boundary of the graph. Several open problems and conjectures about this limiting measure are presented.
