Document Type

Article

Date

2005

Embargo Period

10-2011

Keywords

Lotka-Volterra, Voter model, Super-Brownian motion, Spatial competition, Coalescing random walk

Language

English

Disciplines

Mathematics

Description/Abstract

We show that a sequence of stochastic spatial Lotka–Volterra models, suitably rescaled in space and time, converges weakly to super-Brownian motion with drift. The result includes both long range and nearest neighbor models, the latter for dimensions three and above. These theorems are special cases of a general convergence theorem for perturbations of the voter model.

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This work is licensed under a Creative Commons Attribution 3.0 License.

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