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.
Citation
J. Theodore Cox. Edwin A. Perkins. "A complete convergence theorem for voter model perturbations." Ann. Appl. Probab. 24 (1) 150 - 197, February 2014. https://doi.org/10.1214/13-AAP919
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