| Título: | Clustering Behavior of a Continuous-Sites Stepping-Stone Model with Brownian Migration |
| Autores: | Zhou, Xiaowen; Department of Mathematics and Statistics, Concordia university |
| Fecha: | 2003-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
stepping-stone model; clustering; coalescing Brownian motion Primary: 60G17; Secondary: 60J25, 60K35 |
| Descripción: | Clustering behavior is studied for a continuous-sites stepping-stone model with Brownian migration. It is shown that, if the model starts with the same mixture of different types of individuals over each site, then it will evolve in a way such that the site space is divided into disjoint intervals where only one type of individuals appear in each interval. Those intervals (clusters) are growing as time $t$ goes to infinity. The average size of the clusters at a fixed time $t$ is of the order of square root of $t$. Clusters at different times or sites are asymptotically independent as the difference of either the times or the sites goes to infinity. |
| Idioma: | No aplica |
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