A complete convergence theorem for voter model perturbations

Authors
Cox, J. Theodore Perkins, Edwin A.
Citation
Cox, J. Theodore et A. Perkins, Edwin, A complete convergence theorem for voter model perturbations, Annals of applied probability , 24(1), 2014, pp. 150-197
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
24
Issue
1
Year of publication
2014
Pages
150 - 197
Database
ACNP
SICI code
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.