Geodesic
Stepping-Stone Model with Circular Brownian Migration
Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 146-160

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we consider the stepping-stone model on a circle with circular Brownian migration. We first point out a connection between Arratia flow on the circle and the marginal distribution of this model. We then give a new representation for the stepping-stone model using Arratia flow and circular coalescing Brownian motion. Such a representation enables us to carry out some explicit computations. In particular, we find the distribution for the first time when there is only one type left across the circle.
DOI : 10.4153/CMB-2008-017-2
Mots-clés : 60G57, 60J65, stepping-stonemodel, circular coalescing Brownian motion, Arratia flow, duality, entrance Law 
Zhou, Xiaowen. Stepping-Stone Model with Circular Brownian Migration. Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 146-160. doi: 10.4153/CMB-2008-017-2
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