Renormalization of the two-dimensional Lotka.Volterra model

Authors
Cox, J. Theodore Perkins, Edwin A.
Citation
Cox, J. Theodore et A. Perkins, Edwin, Renormalization of the two-dimensional Lotka.Volterra model, Annals of applied probability , 18(2), 2008, pp. 747-812
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
18
Issue
2
Year of publication
2008
Pages
747 - 812
Database
ACNP
SICI code
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.