Rescaled Lotka-Volterra models converge to super-Brownian motion

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dc.creatorCox, J. Theodore
dc.creatorPerkins, Edwin A.
dc.date2005-06-29
dc.date.accessioned2026-07-07T05:21:14Z
dc.date.available2026-07-07T05:21:14Z
dc.descriptionWe show that a sequence of stochastic spatial Lotka-Volterra models, suitably rescaled in space and time, converges weakly to super-Brownian motion with drift. The result includes both long range and nearest neighbor models, the latter for dimensions three and above. These theorems are special cases of a general convergence theorem for perturbations of the voter model.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000973 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0506591
dc.identifierhttp://arxiv.org/abs/math/0506591
dc.identifierAnnals of Probability 2005, Vol. 33, No. 3, 904-947
dc.identifierdoi:10.1214/009117904000000973
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75614
dc.subjectProbability
dc.subject60K35\sep60G57 (Primary) 60F17\sep60J80 (Secondary)
dc.titleRescaled Lotka-Volterra models converge to super-Brownian motion
dc.typetext

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