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arXiv 2008-04-01 DOI 10.1214/07-AAP453 0 views

Renormalization of the two-dimensional Lotka--Volterra model

Cox, J. Theodore · Perkins, Edwin A.

Original · EN

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.

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