Renormalization of the two-dimensional Lotka--Volterra model

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dc.creatorCox, J. Theodore
dc.creatorPerkins, Edwin A.
dc.date2008-04-01
dc.date.accessioned2026-07-07T12:18:02Z
dc.date.available2026-07-07T12:18:02Z
dc.descriptionWe show that renormalized two-dimensional Lotka--Volterra models near criticality converge to a super-Brownian motion. This is used to establish long-term survival of a rare type for a range of parameter values near the voter model.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-AAP453 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0804.0158
dc.identifierhttp://arxiv.org/abs/0804.0158
dc.identifierAnnals of Applied Probability 2008, Vol. 18, No. 2, 747-812
dc.identifierdoi:10.1214/07-AAP453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212275
dc.subjectProbability
dc.subject60K35, 60G57 (Primary) 60F17, 60J80 (Secondary)
dc.titleRenormalization of the two-dimensional Lotka--Volterra model
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