Time spent in a ball by a critical branching random walk
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929577395224576 |
|---|---|
| author | Asselah, Amine Schapira, Bruno |
| author_facet | Asselah, Amine Schapira, Bruno |
| contents | We study a critical branching random walk on $\mathbb Z^d$. We focus on the tail of the time spent in a ball, and our study, in dimension four and higher, sheds new light on the recent result of Angel, Hutchcroft and Jarai, in particular on the special features of the critical dimension four. Finally, we analyse the number of walks transported by the branching random walk on the boundary of a distant ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_14737 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Time spent in a ball by a critical branching random walk Asselah, Amine Schapira, Bruno Probability 60G50, 60J80 We study a critical branching random walk on $\mathbb Z^d$. We focus on the tail of the time spent in a ball, and our study, in dimension four and higher, sheds new light on the recent result of Angel, Hutchcroft and Jarai, in particular on the special features of the critical dimension four. Finally, we analyse the number of walks transported by the branching random walk on the boundary of a distant ball. |
| title | Time spent in a ball by a critical branching random walk |
| topic | Probability 60G50, 60J80 |
| url | https://arxiv.org/abs/2203.14737 |