Renormalization of the two-dimensional Lotka--Volterra model
classification
🧮 math.PR
keywords
lotka--volterramodelneartwo-dimensionalconvergecriticalityestablishlong-term
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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.
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