Favorite sites of one-dimensional asymmetric simple random walk
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_ | 1866912686904705024 |
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| author | Zhou, Guangshuo Hu, Zechun Song, Renming |
| author_facet | Zhou, Guangshuo Hu, Zechun Song, Renming |
| contents | In this paper, we study favorite sites of one-dimensional asymmetric simple random walks. We show that almost surely, for any fixed integer $r\geq 1$, ``$r$ favorite sites" occurs infinitely often. We also give the asymptotic growth rate of the number of favorite sites. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02316 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Favorite sites of one-dimensional asymmetric simple random walk Zhou, Guangshuo Hu, Zechun Song, Renming Probability In this paper, we study favorite sites of one-dimensional asymmetric simple random walks. We show that almost surely, for any fixed integer $r\geq 1$, ``$r$ favorite sites" occurs infinitely often. We also give the asymptotic growth rate of the number of favorite sites. |
| title | Favorite sites of one-dimensional asymmetric simple random walk |
| topic | Probability |
| url | https://arxiv.org/abs/2511.02316 |