Rescaled voter models converge to super-Brownian motion

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

Research output: Contribution to journalArticle

46 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 languageEnglish (US)
Pages (from-to)185-234
Number of pages50
JournalAnnals of Probability
Volume28
Issue number1
DOIs
StatePublished - Jan 2000

Keywords

  • Super-Brownian motion
  • Voter model

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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