Random walks in Weyl chambers
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908614109691904 |
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| author | Denisov, Denis FitzGerald, Will Zhang, Kaiyuan |
| author_facet | Denisov, Denis FitzGerald, Will Zhang, Kaiyuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22808 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Random walks in Weyl chambers Denisov, Denis FitzGerald, Will Zhang, Kaiyuan Probability Primary 60G50, 60G40, secondary 60C05, 60F17 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. |
| title | Random walks in Weyl chambers |
| topic | Probability Primary 60G50, 60G40, secondary 60C05, 60F17 |
| url | https://arxiv.org/abs/2510.22808 |