151 citations
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Showing 2005 · math.PRShow all
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math.PR2005★ 21 cited
Rescaled Lotka-Volterra models converge to super-Brownian motion
J. Theodore Cox, Edwin A. Perkins
We show that a sequence of stochastic spatial Lotka-Volterra models, suitably rescaled in space and time, converges weakly to super-Brownian motion with drift. The result includes…
math.PR2005★ 38 cited
The stepping stone model. II: Genealogies and the infinite sites model
Iljana Zahle, J. Theodore Cox, Richard Durrett
This paper extends earlier work by Cox and Durrett, who studied the coalescence times for two lineages in the stepping stone model on the two-dimensional torus. We show that the ge…