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arXiv:0804.0158 [math.PR]AbstractReferencesReviewsResources

Renormalization of the two-dimensional Lotka--Volterra model

J. Theodore Cox, Edwin A. Perkins

Published 2008-04-01Version 1

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.

Comments: 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)
Journal: Annals of Applied Probability 2008, Vol. 18, No. 2, 747-812
Categories: math.PR
Subjects: 60K35, 60G57, 60F17, 60J80
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