A complete convergence theorem for voter model perturbations

J. Theodore Cox and Edwin A. Perkins

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 a stochastic spatial Lotka-Volterra model introduced by Neuhauser and Pacala (1999).

Journal: Ann. Appl. Probab. 24 (2014), no. 1, 150–197

DOI: 10.1214/13-AAP919