20 citations · 36 across the 3 of their papers we have counts for
4 papers · 1 filter
Stepping-stone model with circular Brownian migration
Xiaowen Zhou
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…
A superprocess involving both branching and coalescing
Xiaowen Zhou
We consider a superprocess with coalescing Brownian spatial motion. We first prove a dual relationship between two systems of coalescing Brownian motions. In consequence we can exp…
Balls-in-boxes duality for coalescing random walks and coalescing Brownian motions
Steven N. Evans, Xiaowen Zhou
We present a duality relation between two systems of coalescing random walks and an analogous duality relation between two systems of coalescing Brownian motions. Our results exten…
Continuum-sites stepping-stone models, coalescing exhcangeable partitions, and random trees
Peter Donnelly, Steven N. Evans, Klaus Fleischmann +2
Analogues of stepping--stone models are considered where the site--space is continuous, the migration process is a general Markov process, and the type--space is infinite. Such pro…