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 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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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.

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KW - Complete convergence theorem

KW - Interacting particle system

KW - Lotka-Volterra

KW - Voter model perturbation

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A complete convergence theorem for voter model perturbations

Abstract

Keywords

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