@article{EJP141,
author = {Xiaowen Zhou},
title = {Clustering Behavior of a Continuous-Sites Stepping-Stone Model with Brownian Migration},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {8},
year = {2003},
keywords = {stepping-stone model; clustering; coalescing Brownian motion},
abstract = {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.},
pages = {no. 11, 1-15},
issn = {1083-6489},
doi = {10.1214/EJP.v8-141},
url = {http://ejp.ejpecp.org/article/view/141}}