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January 2000 Rescaled voter models converge to super-Brownian motion
J. Theodore Cox, Richard Durrett, Edwin A. Perkins
Ann. Probab. 28(1): 185-234 (January 2000). DOI: 10.1214/aop/1019160117

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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J. Theodore Cox. Richard Durrett. Edwin A. Perkins. "Rescaled voter models converge to super-Brownian motion." Ann. Probab. 28 (1) 185 - 234, January 2000. https://doi.org/10.1214/aop/1019160117

Information

Published: January 2000
First available in Project Euclid: 18 April 2002

zbMATH: 1044.60092
MathSciNet: MR1756003
Digital Object Identifier: 10.1214/aop/1019160117

Subjects:
Primary: 60G57, 60K35
Secondary: 60F05, 60J80

Rights: Copyright © 2000 Institute of Mathematical Statistics

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Vol.28 • No. 1 • January 2000
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