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Rescaled voter models converge to super-Brownian motion

Publication ,  Journal Article
Cox, JT; Durrett, R; Perkins, EA
Published in: Annals of Probability
January 1, 2000

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.

Duke Scholars

Published In

Annals of Probability

DOI

ISSN

0091-1798

Publication Date

January 1, 2000

Volume

28

Issue

1

Start / End Page

185 / 234

Related Subject Headings

  • Statistics & Probability
  • 0104 Statistics
  • 0101 Pure Mathematics
 

Citation

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Cox, J. T., Durrett, R., & Perkins, E. A. (2000). Rescaled voter models converge to super-Brownian motion. Annals of Probability, 28(1), 185–234. https://doi.org/10.1214/aop/1019160117
Cox, J. T., R. Durrett, and E. A. Perkins. “Rescaled voter models converge to super-Brownian motion.” Annals of Probability 28, no. 1 (January 1, 2000): 185–234. https://doi.org/10.1214/aop/1019160117.
Cox JT, Durrett R, Perkins EA. Rescaled voter models converge to super-Brownian motion. Annals of Probability. 2000 Jan 1;28(1):185–234.
Cox, J. T., et al. “Rescaled voter models converge to super-Brownian motion.” Annals of Probability, vol. 28, no. 1, Jan. 2000, pp. 185–234. Scopus, doi:10.1214/aop/1019160117.
Cox JT, Durrett R, Perkins EA. Rescaled voter models converge to super-Brownian motion. Annals of Probability. 2000 Jan 1;28(1):185–234.

Published In

Annals of Probability

DOI

ISSN

0091-1798

Publication Date

January 1, 2000

Volume

28

Issue

1

Start / End Page

185 / 234

Related Subject Headings

  • Statistics & Probability
  • 0104 Statistics
  • 0101 Pure Mathematics