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arXiv · 1210.0830

A complete convergence theorem for voter model perturbations

J. Theodore Cox·Edwin A. Perkins
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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.

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J. Theodore Cox, Edwin A. Perkins. 2012-10-02. A complete convergence theorem for voter model perturbations. https://doi.org/10.1214/13-aap919

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