凸锥中随机游动的马丁边界
概率论
2020-03-10 v1 组合数学
摘要
我们确定了限制于多维凸锥中的零漂移随机游动之格林函数的渐近行为。作为推论，我们证明这些过程存在唯一的正离散调和函数（相差一个乘法常数）；换言之，马丁边界退化为单点集。
引用
@article{arxiv.2003.03647,
title = {Martin boundary of random walks in convex cones},
author = {Jetlir Duraj and Kilian Raschel and Pierre Tarrago and Vitali Wachtel},
journal= {arXiv preprint arXiv:2003.03647},
year = {2020}
}
备注
43 pages. This article is based on two papers which have already appeared on arXiv: arXiv:1803.09253v2 (by Kilian Raschel and Pierre Tarrago) and arXiv:1807.07360 (by Jetlir Duraj and Vitali Wachtel)