Random walks in Weyl chambers
Probability
2025-10-28 v1
Abstract
We study a -dimensional random walk with zero mean and finite variance in the Weyl chambers of type C and D. Under optimal moment assumptions we construct positive harmonic functions for random walks killed on exiting Weyl chambers. We also find the tail asymptotics for the exit time of the random walk from Weyl chambers.
Cite
@article{arxiv.2510.22808,
title = {Random walks in Weyl chambers},
author = {Denis Denisov and Will FitzGerald and Kaiyuan Zhang},
journal= {arXiv preprint arXiv:2510.22808},
year = {2025}
}
Comments
33 pages