Rescaled voter models converge to super-Brownian motion

J. Theodore Cox; Richard Durrett; Edwin A. Perkins

doi:10.1214/aop/1019160117

Rescaled voter models converge to super-Brownian motion

J. Theodore Cox, Richard Durrett, Edwin A. Perkins

Department of Mathematics

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

56 Scopus citations

Abstract

We show that a sequence of voter models, suitably rescaled in space and time, converges weakly to super-Brownian motion. The result includes both nearest neighbor and longer range voter models and complements a limit theorem of Mueller and Tribe in one dimension.

Original language	English (US)
Pages (from-to)	185-234
Number of pages	50
Journal	Annals of Probability
Volume	28
Issue number	1
DOIs	https://doi.org/10.1214/aop/1019160117
State	Published - Jan 2000

Keywords

Super-Brownian motion
Voter model

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/aop/1019160117

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title = "Rescaled voter models converge to super-Brownian motion",

abstract = "We show that a sequence of voter models, suitably rescaled in space and time, converges weakly to super-Brownian motion. The result includes both nearest neighbor and longer range voter models and complements a limit theorem of Mueller and Tribe in one dimension.",

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year = "2000",

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AU - Durrett, Richard

AU - Perkins, Edwin A.

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JO - Annals of Probability

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Rescaled voter models converge to super-Brownian motion

Abstract

Keywords

ASJC Scopus subject areas

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