Stepping-stone model with circular Brownian migration

Simple item page
dc.creatorZhou, Xiaowen
dc.date2005-09-16
dc.date.accessioned2026-07-07T05:23:16Z
dc.date.available2026-07-07T05:23:16Z
dc.descriptionIn 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0509383
dc.identifierhttp://arxiv.org/abs/math/0509383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76369
dc.subjectProbability
dc.subject60G57; 60J65
dc.titleStepping-stone model with circular Brownian migration
dc.typetext

Files

Collections

arXiv