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arXiv · 0804.0158

Renormalization of the two-dimensional Lotka--Volterra model

J. Theodore Cox·Edwin A. Perkins
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Abstract

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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J. Theodore Cox, Edwin A. Perkins. 2008-04-01. Renormalization of the two-dimensional Lotka--Volterra model. https://doi.org/10.1214/07-aap453

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