Strong law of large numbers for a function of the local times of a transient random walk on groups
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914211375874048 |
|---|---|
| author | Chang, Yinshan Chen, Qinwei Meng, Qian Peng, Xue |
| author_facet | Chang, Yinshan Chen, Qinwei Meng, Qian Peng, Xue |
| contents | This paper presents the strong law of large numbers for a function of the local times of a transient random walk on groups, extending the research of Asymont and Korshunov for random walks on the integer lattice $\mathbb{Z}^d$. Under some weaker conditions, we prove that certain function of the local times converges almost surely and in $L^1$ and $L^2$. The proof is mainly based on the subadditive ergodic theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04792 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong law of large numbers for a function of the local times of a transient random walk on groups Chang, Yinshan Chen, Qinwei Meng, Qian Peng, Xue Probability This paper presents the strong law of large numbers for a function of the local times of a transient random walk on groups, extending the research of Asymont and Korshunov for random walks on the integer lattice $\mathbb{Z}^d$. Under some weaker conditions, we prove that certain function of the local times converges almost surely and in $L^1$ and $L^2$. The proof is mainly based on the subadditive ergodic theorem. |
| title | Strong law of large numbers for a function of the local times of a transient random walk on groups |
| topic | Probability |
| url | https://arxiv.org/abs/2502.04792 |