Local times in critical generations of a random walk in random environment on trees
| Autor: | Kagan, Alexis |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider a null-recurrent randomly biased walk $\mathbb{X}$ on a Galton-Watson tree in the (sub)-diffusive regime and we prove that properly renormalized, the local time in a critical generation converges in law towards some function of a stable continuous-state branching process. We also provide an explicit equivalent of the probability that critical generations are reached by the random walk $\mathbb{X}$. Comment: 28 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|