| Título: | Recurrence of the $\mathbb{Z}^d$-valued infinite snake via unimodularity |
| Autores: |
Benjamini, Itai; Weizmann Institute of Science Curien, Nicolas; École Normale Supérieure Paris |
| Fecha: | 2012-01-02 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Galton-Watson trees; random snake; recurrence 60J80 |
| Descripción: | We use the concept of unimodular random graph to show that the branching simple random walk on $\mathbb{Z}^{d}$ indexed by a critical geometric Galton-Watson tree conditioned to survive is recurrent if and only if $d \leq 4$. |
| Idioma: | Inglés |
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