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arXiv · 2510.22808

Random walks in Weyl chambers

Denis Denisov·Will FitzGerald·Kaiyuan Zhang
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Abstract

We study a $d$-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.

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Denis Denisov, Will FitzGerald, Kaiyuan Zhang. 2025-10-26. Random walks in Weyl chambers. https://arxiv.org/abs/2510.22808

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