Quenched large deviations for randomly weighted geodesic random walks
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910026946314240 |
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| author | Versendaal, Rik |
| author_facet | Versendaal, Rik |
| contents | We consider weighted geodesic random walks in a complete Riemannian manifold $(M,g)$. We show that for almost all sequences of weights (with respect to a suitable measure), these weighted geodesic random walks satisfy, when suitably scaled, a large deviation principle with a universal rate function. This extends the results from [3], where this was shown for the real-valued case. It turns out the argument is also valid for general vector spaces. This allows us to use the methodology of [9], in which large deviations for geodesic random walks are obtained from large deviation estimates for associated random walks in tangent spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17319 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quenched large deviations for randomly weighted geodesic random walks Versendaal, Rik Probability 60F10, 60G50, 60D05 We consider weighted geodesic random walks in a complete Riemannian manifold $(M,g)$. We show that for almost all sequences of weights (with respect to a suitable measure), these weighted geodesic random walks satisfy, when suitably scaled, a large deviation principle with a universal rate function. This extends the results from [3], where this was shown for the real-valued case. It turns out the argument is also valid for general vector spaces. This allows us to use the methodology of [9], in which large deviations for geodesic random walks are obtained from large deviation estimates for associated random walks in tangent spaces. |
| title | Quenched large deviations for randomly weighted geodesic random walks |
| topic | Probability 60F10, 60G50, 60D05 |
| url | https://arxiv.org/abs/2602.17319 |