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)|
|Series Name:||Department of Mathematics & Statistics. Technical Report No. 5/05|
|Corporate Authors:||Concordia University. Department of Mathematics & Statistics|
|Keywords:||stepping-stone model, circular coalescing Brownian motion, Arratia flow, duality, entrance law|
|Deposited By:||DIANE MICHAUD|
|Deposited On:||02 Jun 2010 13:14|
|Last Modified:||08 Dec 2010 18:22|
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