Renormalization of the two-dimensional Lotka–Volterra model
Cox, J. Theodore ; Perkins, Edwin A.
Ann. Appl. Probab., Tome 18 (2008) no. 1, p. 747-812 / Harvested from Project Euclid
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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.
Publié le : 2008-04-15
Classification:  Voter model,  super-Brownian motion,  Lotka–Volterra model,  60K35,  60G57,  60F17,  60J80 
@article{1206018203,
     author = {Cox, J. Theodore and Perkins, Edwin A.},
     title = {Renormalization of the two-dimensional Lotka--Volterra model},
     journal = {Ann. Appl. Probab.},
     volume = {18},
     number = {1},
     year = {2008},
     pages = { 747-812},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1206018203}
}

Cox, J. Theodore; Perkins, Edwin A. Renormalization of the two-dimensional Lotka–Volterra model. Ann. Appl. Probab., Tome 18 (2008) no. 1, pp.  747-812. http://gdmltest.u-ga.fr/item/1206018203/