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 2014 |
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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
Cite this
A complete convergence theorem for voter model perturbations. / Cox, J Theodore; Perkins, Edwin A.
In: Annals of Applied Probability, Vol. 24, No. 1, 02.2014, p. 150-197.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A complete convergence theorem for voter model perturbations
AU - Cox, J Theodore
AU - Perkins, Edwin A.
PY - 2014/2
Y1 - 2014/2
N2 - 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.
AB - 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.
KW - Annihilating dual
KW - Complete convergence theorem
KW - Interacting particle system
KW - Lotka-Volterra
KW - Voter model perturbation
UR - http://www.scopus.com/inward/record.url?scp=84892408563&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84892408563&partnerID=8YFLogxK
U2 - 10.1214/13-AAP919
DO - 10.1214/13-AAP919
M3 - Article
AN - SCOPUS:84892408563
VL - 24
SP - 150
EP - 197
JO - Annals of Applied Probability
JF - Annals of Applied Probability
SN - 1050-5164
IS - 1
ER -