| Título: | On the internal distance in the interlacement set |
| Autores: |
Černý, Jiří; University of Vienna Popov, Serguei; University of Campinas UNICAMP |
| Fecha: | 2012-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Random interlacement; Internal distance; Shape theorem; Simple random walk; Capacity 60K35; 82B43; 60G50 |
| Descripción: | We prove a shape theorem for the internal (graph) distance on the interlacement set $\mathcal{I}^u$ of the random interlacement model on $\mathbb Z^d$, $d\ge 3$. We provide large deviation estimates for the internal distance of distant points in this set, and use these estimates to study the internal distance on the range of a simple random walk on a discrete torus. |
| Idioma: | Inglés |
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