most citedRenormalization of the two-dimensional Lotka--Volterra model

6 citations · 6 across the 1 of their papers we have counts for

collaborators

2 papers

math.PR2019

Rescaling the spatial lambda Fleming-Viot process and convergence to super-Brownian motion

J. Theodore Cox, Edwin A. Perkins

We show that a space-time rescaling of the spatial Lamba-Fleming-Viot process of Barton and Etheridge converges to super-Brownian motion. This can be viewed as an extension of a re…

math.PR2008★ 6 cited

Renormalization of the two-dimensional Lotka--Volterra model

J. Theodore Cox, Edwin A. Perkins

We show that renormalized two-dimensional Lotka--Volterra models near criticality converge to a super-Brownian motion. This is used to establish long-term survival of a rare type f…