| Título: | Phase Transition for the Frog Model |
| Autores: |
Alves, Oswaldo; Universidade Federal de Goias Machado, Fabio; Universidade de Sao Paulo Popov, Serguei; Universidade de São Paulo |
| Fecha: | 2002-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics simple randomwalk, critical probability, percolation. 60J85, 60K35, 82B43. |
| Descripción: | We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability $1-p$. When an active particle hits a sleeping particle, the latter becomes active. Phase transition results and asymptotic values for critical parameters are presented for $Z^d$ and regular trees. |
| Idioma: | Inglés |
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