Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Denisov, Denis, FitzGerald, Will, Zhang, Kaiyuan
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7101872484
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