Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.03324 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916722264506368 |
|---|---|
| author | Jiang, Jie Lai, Shuwen |
| author_facet | Jiang, Jie Lai, Shuwen |
| contents | This paper investigates the large deviation problem in the sample path space of the nearest-neighbor random walks on regular trees.
We establish the sample path large deviation principle for the law of the distance from a nearest random walk on a regular tree to the root with a good convex rate function. Furthermore, we derive an implicit expression for the rate function via the Fenchel-Legendre transform of the log-moment generating function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sample Path Large Deviations for Random Walks on Regular Trees Jiang, Jie Lai, Shuwen Probability This paper investigates the large deviation problem in the sample path space of the nearest-neighbor random walks on regular trees. We establish the sample path large deviation principle for the law of the distance from a nearest random walk on a regular tree to the root with a good convex rate function. Furthermore, we derive an implicit expression for the rate function via the Fenchel-Legendre transform of the log-moment generating function. |
| title | Sample Path Large Deviations for Random Walks on Regular Trees |
| topic | Probability |
| url | https://arxiv.org/abs/2505.03324 |