Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2206.12801 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914426035109888 |
|---|---|
| author | Huang, Xiangyu Liu, Yong Xiang, Kainan |
| author_facet | Huang, Xiangyu Liu, Yong Xiang, Kainan |
| contents | A $δ$ once-reinforced random walk ($δ$-ORRW) on connected graph is a self-interacting random walk which moves to its neighbors at each step according to the weights of the edges at that time, where the weights are $1$ on edges that have not been traversed and $δ$ otherwise. In this paper, we prove a large deviation principle for empirical measures of $δ$-ORRWs on finite connected graphs using a modified weak convergence approach. The rate function of the large deviation principle exhibits a phase transition at the $δ=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_12801 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Large deviation principle for empirical measures of once-reinforced random walks on finite graphs Huang, Xiangyu Liu, Yong Xiang, Kainan Probability A $δ$ once-reinforced random walk ($δ$-ORRW) on connected graph is a self-interacting random walk which moves to its neighbors at each step according to the weights of the edges at that time, where the weights are $1$ on edges that have not been traversed and $δ$ otherwise. In this paper, we prove a large deviation principle for empirical measures of $δ$-ORRWs on finite connected graphs using a modified weak convergence approach. The rate function of the large deviation principle exhibits a phase transition at the $δ=1$. |
| title | Large deviation principle for empirical measures of once-reinforced random walks on finite graphs |
| topic | Probability |
| url | https://arxiv.org/abs/2206.12801 |