A complete convergence theorem for voter model perturbations

Abstract

We prove a complete convergence theorem for a class of symmetric voter model perturbations with annihilating duals. A special case of interest covered by our results is the stochastic spatial Lotka-Volterra model introduced by Neuhauser and Pacala [Ann. Appl. Probab. 9 (1999) 1226-1259]. We also treat two additional models, the "affine" and "geometric" voter models.

Published in at http://dx.doi.org/10.1214/13-AAP919 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)

References in corpus (4)

• Voter Model Perturbations and Reaction Diffusion Equations
• Rescaled Lotka-Volterra models converge to super-Brownian motion
• Voter models with heterozygosity selection
• Renormalization of the two-dimensional Lotka--Volterra model