Rescaled voter models converge to super-Brownian motion
Cox, J. Theodore ; Durrett, Richard ; Perkins, Edwin A.
Ann. Probab., Tome 28 (2000) no. 1, p. 185-234 / Harvested from Project Euclid
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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.
Publié le : 2000-01-14
Classification:  Voter model,  super-Brownian motion,  60K35,  60G57,  60F05,  60J80 
@article{1019160117,
     author = {Cox, J. Theodore and Durrett, Richard and Perkins, Edwin A.},
     title = {Rescaled voter models converge to super-Brownian motion},
     journal = {Ann. Probab.},
     volume = {28},
     number = {1},
     year = {2000},
     pages = { 185-234},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1019160117}
}

Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. Rescaled voter models converge to super-Brownian motion. Ann. Probab., Tome 28 (2000) no. 1, pp.  185-234. http://gdmltest.u-ga.fr/item/1019160117/