%0 Journal Article %T Renormalization of the two-dimensional Lotka--Volterra model %A J. Theodore Cox %A Edwin A. Perkins %J Mathematics %D 2008 %I arXiv %R 10.1214/07-AAP453 %X 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 for a range of parameter values near the voter model. %U http://arxiv.org/abs/0804.0158v1