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

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

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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

Information

Published: February 2014
First available in Project Euclid: 9 January 2014

zbMATH: 1291.60202
MathSciNet: MR3161645
Digital Object Identifier: 10.1214/13-AAP919

Subjects:
Primary: 60K35 , 82C22
Secondary: 60F99

Keywords: annihilating dual , Complete convergence theorem , Interacting particle system , Lotka–Volterra , voter model perturbation

Rights: Copyright © 2014 Institute of Mathematical Statistics

Vol.24 • No. 1 • February 2014
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