论文标题
在Galton-Watson树上有偏见的随机步行的速度是分析性的
The speed of a biased random walk on a Galton-Watson tree is analytic
论文作者
论文摘要
我们证明，在弹道制度内，有偏见的随机步行的速度是生存的超临界加尔顿 - 瓦特森树。这扩展了先前的工作ARXIV：1906.07913，其中证明速度在中心限制定理所持的偏差范围内是可区分的。
We prove that the speed of a biased random walk on a supercritical Galton-Watson tree conditioned to survive is analytic within the ballistic regime. This extends the previous work arXiv:1906.07913 in which it was shown that the speed is differentiable within the range of bias for which a central limit theorem holds.
