Report
Time spent in a ball by a critical branching random walk
| العنوان: | Time spent in a ball by a critical branching random walk |
|---|---|
| المؤلفون: | Asselah, Amine, Schapira, Bruno |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, 60G50, 60J80 |
| الوصف: | 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. Comment: 38 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2203.14737 |
| رقم الانضمام: | edsarx.2203.14737 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |