A complete convergence theorem for voter model perturbations
Probability
2014-01-16 v2
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.
Cite
@article{arxiv.1210.0830,
title = {A complete convergence theorem for voter model perturbations},
author = {J. Theodore Cox and Edwin A. Perkins},
journal= {arXiv preprint arXiv:1210.0830},
year = {2014}
}
Comments
Published in at http://dx.doi.org/10.1214/13-AAP919 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)