Stepping-Stone Model with Circular Brownian Migration


Stepping-Stone Model with Circular Brownian Migration

Zhou, Xiaowen (2005) Stepping-Stone Model with Circular Brownian Migration. Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.

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In this paper we consider a stepping-stone model on a circle with circular Brownian migration. We first point out a connection between Arratia flow 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 computation. In particular, we find the Laplace transform for the time when there is only a single type left across the circle.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Monograph (Technical Report)
Authors:Zhou, Xiaowen
Series Name:Department of Mathematics & Statistics. Technical Report No. 5/05
Corporate Authors:Concordia University. Department of Mathematics & Statistics
Institution:Concordia University
Date:August 2005
Keywords:stepping-stone model, circular coalescing Brownian motion, Arratia flow, duality, entrance law
ID Code:6670
Deposited On:02 Jun 2010 13:14
Last Modified:08 Dec 2010 18:22
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