Renormalization of the two-dimensional Lotka--Volterra model
Probability
2008-12-18 v1
Abstract
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.
Cite
@article{arxiv.0804.0158,
title = {Renormalization of the two-dimensional Lotka--Volterra model},
author = {J. Theodore Cox and Edwin A. Perkins},
journal= {arXiv preprint arXiv:0804.0158},
year = {2008}
}
Comments
Published in at http://dx.doi.org/10.1214/07-AAP453 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)