Renormalization of the two-dimensional Lotka--Volterra model

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We 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.
Published 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)

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Probability, 60K35, 60G57 (Primary) 60F17, 60J80 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/212275

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.0158
 http://arxiv.org/abs/0804.0158
 Annals of Applied Probability 2008, Vol. 18, No. 2, 747-812
 doi:10.1214/07-AAP453

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arXiv