A complete convergence theorem for voter model perturbations

J. Theodore Cox; Edwin A. Perkins

doi:10.1214/13-AAP919

A complete convergence theorem for voter model perturbations

J. Theodore Cox, Edwin A. Perkins

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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	https://doi.org/10.1214/13-AAP919
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

Access to Document

10.1214/13-AAP919

Fingerprint Dive into the research topics of 'A complete convergence theorem for voter model perturbations'. Together they form a unique fingerprint.

Cite this

@article{7c84c91abe48487b942d239a88cec115,

title = "A complete convergence theorem for voter model perturbations",

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.",

keywords = "Annihilating dual, Complete convergence theorem, Interacting particle system, Lotka-Volterra, Voter model perturbation",

author = "{Theodore Cox}, J. and Perkins, {Edwin A.}",

year = "2014",

month = feb,

day = "1",

doi = "10.1214/13-AAP919",

language = "English (US)",

volume = "24",

pages = "150--197",

journal = "Annals of Applied Probability",

issn = "1050-5164",

publisher = "Institute of Mathematical Statistics",

number = "1",

}

TY - JOUR

T1 - A complete convergence theorem for voter model perturbations

AU - Theodore Cox, J.

AU - Perkins, Edwin A.

PY - 2014/2/1

Y1 - 2014/2/1

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 -