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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 150-197 |
| Number of pages | 48 |
| Journal | Annals of Applied Probability |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 1 2014 |
Keywords
- Annihilating dual
- Complete convergence theorem
- Interacting particle system
- Lotka-Volterra
- Voter model perturbation
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
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Theodore Cox, J., & Perkins, E. A. (2014). A complete convergence theorem for voter model perturbations. Annals of Applied Probability, 24(1), 150-197. https://doi.org/10.1214/13-AAP919