%0 Journal Article %1 MR1756003 %A Cox, J. Theodore %A Durrett, Richard %A Perkins, Edwin A. %D 2000 %J The Annals of Probability %K branching_Brownian_motion particle_systems voter_model %N 1 %P 185--234 %R 10.1214/aop/1019160117 %T Rescaled voter models converge to super-Brownian motion %U http://dx.doi.org/10.1214/aop/1019160117 %V 28 %X 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. (Note that the results hold if occupied sites are sufficiently sparse.)

@article{MR1756003, 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. (Note that the results hold if occupied sites are sufficiently sparse.)}, added-at = {2012-08-27T19:36:01.000+0200}, author = {Cox, J. Theodore and Durrett, Richard and Perkins, Edwin A.}, biburl = {https://www.bibsonomy.org/bibtex/272f846ae50c3ed4756c2767aae526b35/peter.ralph}, coden = {APBYAE}, description = {MR: Publications results for "MR Number=(1756003)"}, doi = {10.1214/aop/1019160117}, interhash = {216d47be07277a0cab3de0cc2f53cf24}, intrahash = {72f846ae50c3ed4756c2767aae526b35}, issn = {0091-1798}, journal = {The Annals of Probability}, keywords = {branching_Brownian_motion particle_systems voter_model}, mrclass = {60K35 (60F05 60G57 60J80)}, mrnumber = {1756003 (2001d:60105)}, mrreviewer = {Luis G. Gorostiza}, number = 1, pages = {185--234}, sjournal = {Ann. Probab.}, timestamp = {2012-08-27T19:36:01.000+0200}, title = {Rescaled voter models converge to super-{B}rownian motion}, url = {http://dx.doi.org/10.1214/aop/1019160117}, volume = 28, year = 2000 }