| Título: | Large-range constant threshold growth model in one dimension |
| Autores: | Sega, Gregor; Faculty of Mathematics and Physics, University of Ljubljana |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
growth model; asymptotic propagation velocity; invariant distribution 60k35;82b23;82c22 |
| Descripción: | We study a one dimensional constant threshold model in continuous time. Its dynamics have two parameters, the range $n$ and the threshold $v$. An unoccupied site $x$ becomes occupied at rate 1 as soon as there are at least $v$ occupied sites in $[x-n, x+n]$. As n goes to infinity and $v$ is kept fixed, the dynamics can be approximated by a continuous space version, which has an explicit invariant measure at the front. This allows us to prove that the speed of propagation is asymptoticaly $n^2/2v$. |
| Idioma: | No aplica |
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